Problema Solution
Jason has 80 coins in his bank. The number of quarters in his bank is 8 less than 3 times the number of dimes. What is the number of dimes and the number of quarters?
Answer provided by our tutors
Let
1 quarter = 25 cents
1 dime = 10 cents
q = the number of quarters, q>0
d = the number of dimes, d>0
Jason has 80 coins in his bank:
q + d = 80
The number of quarters in his bank is 8 less than 3 times the number of dimes:
q = 3d - 8
We have the following system of equations:
q + d = 80
q = 3d - 8
........
........
d = 22 dimes
q = 58 quarters
There are 22 dimes and 58 quarters.