Question

Kevin and Randy Muise have a jar containing 41 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.45. How many of each type of coin do they have?

The jar contains
The jar contains
quarters.
nickels

Answer 1

There are 27 quarters and 14 nickles

Explanation:

Step 1: Make a system of equations

n + q = 41

0.05n + 0.25q = 7.45

Step 2: Solve for n in the first equation

n + q - q = 41 - q

n = 41 - q

Step 3: Plug in n into the second equation

0.05(41 - q) + 0.25q = 7.45

2.05 - 0.05q + 0.25q - 2.05 = 7.45 - 2.05

0.2q / 0.2 = 5.4 / 0.2

q = 27

Step 4: Find the amount of nickels

n = 41 - 27

n = 14

Answer: There are 27 quarters and 14 nickles