Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer 1

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460


Related Questions

.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error

Answers

Answer:

he is incorrect.

Step-by-step explanation:

It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.

Yo can somebody please help me with this math problem

Answers

Answer:

what is the problem it doesn't show anything

Please use the graphing method to solve the following system of the linear equation:

Answers

Answer: I think c but im not too sure

Step-by-step explanation;

Answer:

B (4,4)

Step-by-step explanation:

if you go to desmos.com, click on graphic calculator and put your equations in you will see they intersect at point (4,4)

HELPP! I need an explanation an answer quicck

Answers

Answer:

C. -1,-2

Step-by-step explanation:

the answer is -1 , -2

Maya's final score is 298.Which dancer has the greater final score?

Answers

Answer:

the question

Step-by-step explanation:

because it litterly has dancer and in the question it has the greater final score.

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.

Answers

Answer: The numbers are 4 and 6.

Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

y

=

10

x

(subtracting

x

from both sides)

Replacing the value of

y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

x

)

Opening the brackets and simplifying we get:

3

x

=

20

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

Since from the second equation we have:

x

+

y

=

10

substituting

x

with

4

we get:

4

+

y

=

10

Subtract

4

from both sides.

y

=

6

Answer: The smaller number is 12.

Step-by-step explanation:

Just took the test

Solve the following equation for x give your answer in simplified form 1/4x +3y =8

Answers

x= 2 - 3/4y. if you do the equation, you would start by subtracting 3y from both sides. now you would have 1/4x= 8-3y. then you would divide both sides by 4, to get x= 2-3/4y.

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Answers

Answer:

c + 0.5b =700 and c + b =1,000 I think

Answer:

c+b=1000

Step-by-step explanation:

This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.

Rachel packed supplies for the sixth grade picnic. For every 11 forks she packed, she packed 8 spoons. Rachel packed a total of 110 forks. How many spoons did she pack?

Answers

Answer:

80

Step-by-step explanation:

The ratio is 11:8 multiply it by 10 it turns into 110:80

Answer:

80

Step-by-step explanation:

because that's the answer

Solve 3/4x = 7 28/ 3​

Answers

3/4x=728/3

x=728/3×4/3

x=32.556

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

BUT I'M NOT SURE IF IT IS CORRECT

Can someone help me on this

Answers

Answer:

a=3*3*3*3*3=243

b=2*2*2*2=16

c=10*10*10=1000

Step-by-step explanation:

If u answer correctly I will give brailiest
For any number n>1, is
|([frac{7}{25} + frac{24}{25}i)^n|
A) Greater than 1
B) Less than 1
C) Equal to 1

Answers

Answer:

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad\ frac{a}{c}\pm\frac{b}{c}=\frac{a\pm\:b}{c}$ Since the denominators are equal ...

Step-by-step explanation:

Addition and subtraction of complex numbers works in a similar way to ... Example 1- Addition & Subtraction. a. ... (6+3)+(7−5)j=9+2j ... 25 + 30j + 9(-1)` ... our final answer is real only (it does not contain any imaginary terms. ... above - we multiply top and bottom of the fraction by the conjugate of the bottom.

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Answers

Answer:

130

Step-by-step explanation:

which point is closer to the x-axis (0.7, 21) or (0.77, 10)

Answers

Answer:

As

[tex]d_A=21[/tex][tex]d_B=10[/tex]

Therefore, point B is closer to the x-axis.

Please check the attached graph.

Step-by-step explanation:

We know that:

x-coordinate of any point P(x, y) gives its distance of that point from the y-axisy-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Given the points

(0.7, 21)(0.77, 10)

Let us say

A(0.7, 21)B(0.77, 10)

FOR POINT A(0, 7)

As the y-coordinate of point A(0.7, 21) ⇒ y = 21

We know that the y-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point A(0.7, 21) from the y-axis is 21 units.

i.e.

[tex]d_A=21[/tex]

FOR POINT B(0.77, 10)

As the y-coordinate of point A(0.77, 10) ⇒ y = 10

We know that the y-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point B(0, 7) from the y-axis is 10 units.

i.e.

[tex]d_B=10[/tex]

As

[tex]d_A=21[/tex][tex]d_B=10[/tex]

Therefore, point B is closer to the x-axis.

Please check the attached graph.

Answer:

a=10

b=20

Step-by-step explanation:

Joey and Krysta are at the Richmond Fair and are waiting in line to ride on the Ferris Wheel. They are trying to figure how long they will need to wait before they get to the front of the line. The more people in the line ahead of them, the longer they will need to wait.

p = the number of people in line ahead of Joey and Krysta
w = the length of time Joey and Krysta will need to wait

Which variable is the independent variable?

Answers

Answer:

P, the number of people in line ahead of Joey and Krysta is the independent variable.

Step-by-step explanation:

A four-person relay team completed a race in 60.4 seconds. On average, what was each runner's time?

Answers

Answer:

Each person did 15.1 seconds.

Step-by-step explanation: Just divide 60.4 seconds by 4 for the number of runners.

Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?

Answers

Answer:

7 inches on the map is 175 miles.

Step-by-step explanation:

2 inches equals 50 miles.  Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)

find the missing measures

Answers

2,4,6,7 and that’s pretty much it bud

Answer:

8 cm and 28 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

(i)

Here A = 48, b = AB and h = DE = 6 , then

AB × 6 = 48 ( divide both sides by 6 )

AB = 8 cm

(ii)

Here A = 252, b = PQ = 9 and h = RT , then

9 × RT = 252 ( divide both sides by 9 )

RT = 28 cm

A poster of the detroit lions football players uses a scale of 4 inches= 3 feet. If quarterback Matthew stafford is 8 1/2 inches tall on the poster, find his actual height.

Answers

Answer:

The actual height = 6.38 feet

Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

of 4 inches = 3 feet

so

1 inch = 3/4 feet

Given that the poster's length:

[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch

We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.

As 1 inch = 3/4 feet

Thus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.

Actual height = 8.5 × 3/4 feet

                      = 6.38 feet

Therefore, the actual height = 6.38 feet

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In total, Peter and Angad receive £75.
How much does Henry get?​

Answers

Answer:

75

Step-by-step explanation:

1+4=5

75=75

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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○ P
○ Q
○ R
○ S​

Answers

Answer:

R

Step-by-step explanation:

Answer:

R

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Factor out 12
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Answers

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wut????????

Step-by-step explanation:

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

i need help with some unanswerd Qs on my profile

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Answer:

I will help

Step-by-step explanation:

Answer:

i can help you

Step-by-step explanation:

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Answer:

no

Step-by-step explanation:

pretty sure it’s a sorry if i’m wrong
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