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?

in progress 0
2 weeks 2022-01-11T14:03:57+00:00 1 Answer 0 views 0

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