Question

You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarters is 8 more than the number of dimes. Is your friend correct? Explain. Let d represent the number of dimes.

Answer 1

Let x be the amount of quarters
Let y be the amount of dimes

X + 8 = y

Y + x = 2.80

Substitute

Y * x = 2.80

(X+8) + x = 2.80

2x = -6.80
x = -3.40

See this doesnr make sense
Because there cant be a negative amount of dimes