Question

You have quarters and dimes that total $2.80 your friend says it is possible that the number of quarters is 8 than the number of dimes. Is your friend correct? Let d represent the number of dimes. An equation that models this situation is ____ = 2.80

Answer 1

If d is the amount of dimes and the number of quarters is 8 times the number of dimes, then, you have 8d number of quarters.

Moreover, due to the total amount of money is $2.80, then, you have the following expression:

d + 8d = 2.80 simplify like terms left side

9d = 2.80

Hence, the equation is 9d = 2.80

To determine if your friend is correct, solve the equation for d by dividing by 9 both sides:

d = 2.80/9 =