Problema Solution
Kevin and Randy Muise have a jar containing
74
coins, all of which are either quarters or nickels. The total value of the coins in the jar is
$13.70.
How many of each type of coin do they have?
Answer provided by our tutors
1 nickle = 5 cents
1 quarter = 25 cents
Let
n = the number of nickels, n>0, n is integer
q = the number of quarters, q>0, q is integer
Kevin and Randy Muise have a jar containing 74 coins, all of which are either quarters or nickels:
n + q = 74
The total value of the coins in the jar is $13.70 = 1370 cents:
5n + 25q = 1370
We have the following system of equations:
n + q = 74
5n + 25q = 1370
........
........
n = 24 nickles
q = 50 quarters
They have 24 nickles and 50 quarters.