Problema Solution

A student makes a $8.75 purchase at the bookstore with a twenty dollar bill and the store has no bills and gives the change in quarters and fifty cent pieces. There are thirty coins in all. How many are quarters and how many are fifty cent pieces

Answer provided by our tutors

Let x be number of quarters

Let y be number 50 cents

Change is 20 - 8.75 = 11.25 dollars = 1125 cents

x+y = 30

25x + 50y = 1125

 

-25x-25y = -750

25x+50y = 1125

 

25y = 375

y = 15

 

x + 15 = 30

x =15

So, 15 quarters and 15 fifty cents