## 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

Question

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

in progress
0

Math
2 weeks
2022-01-11T14:03:57+00:00
2022-01-11T14:03:57+00:00 1 Answer
0 views
0
## Answers ( )

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

—-> equation A

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

—-> equation B

substitute equation A in equation B

solve for x

Find the value of y

therefore

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