Mathematics High School

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

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Step-by-step explanation:

Let one number be represented as

and the other as

According to the problem:

and

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−

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

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

Answers

Answer:

[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)

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i.e.

[tex]d_B=10[/tex]

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

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

Please check the attached graph.

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Answers

Answer:

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Step-by-step explanation:

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

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