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Strike441 [17]
3 years ago
11

William says to Gracie, "If you give me $7.50,we will have and equal amount of money. "Grace responds, "That may be true, but if

you give me $ 7.50 instead, I will have twice as much money as you. "How much money did William and Grace each have in the beginning?
Please show work
Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

Step-by-step explanation:

Let

x ---> amount that William has at the beginning

y ---> amount that Gracie has at the beginning

we know that

William says to Gracie, "If you give me $7.50,we will have and equal amount of money

so

x+7.50=y-7.50

y=x+15.00 ----> equation A

"Grace responds, if you give me $ 7.50 instead, I will have twice as much money as you

2(x-7.50)=(y+7.50)

2x-15.00=y+7.50

2x-y=22.50 ----> equation B

substitute equation A in equation B

2x-(x+15.00)=22.50

solve for x

x=22.50+15.00=37.50

Find the value of y

y=37.50+15.00=52.50

therefore

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

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