Gisele has $5.90 in quarters and nickels. If she has 16 more nickels than quarters, how many quarters does she have?

Question

Translate the word problem into an equation then solve. Please Help!!

Answer 1

Let's say Gisele has x quarters. Then she has (x + 16) nickels.

 

We can express her total in change as:

 

0.25x + 0.05(x + 16) = 5.90

 

25x + 5(x + 16) = 590

 

25x + 5x + 80 = 590

 

30x + 80 = 590

 

30x = 510

 

x = 17

 

Gisele has 17 quarters and 17 + 16 = 33 nickels