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

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

1; 35 is the ratio

step-by-step explanation: