Problema Solution
kevin and randy muise have a jar containing 78 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $13.10. 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 78 coins, all of which are either quarters or nickels:
n + q = 78
The total value of the coins in the jar is $13.10 = 1310 cents:
5n + 25q = 1310
We have the following system of equations:
n + q = 78
5n + 25q = 1310
........
........
n = 32 nickles
q = 46 quarters
They have 32 nickels and 46 quarters.