Answer: The jar contains 40 quarters and 42 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that they have in the jar.
Let y represent the number of nickels that they have in the jar.
Kevin and Randy Muise have a jar containing 82 coins, all of which are either quarters or nickels. This means that
x + y = 82
The total value of the coins in the jar is $12.10. This means that
0.25x + 0.05y = 12.1 - - - - - - - - - - - 1
Substituting x = 82 - y into equation 1, it becomes
0.25(82 - y) + 0.05y = 12.1
20.5 - 0.25y + 0.05y = 12.1
- 0.25y + 0.05y = 12.1 - 20.5
- 0.2y = - 8.4
y = - 8.4/ - 0.2
y = 42
x = 82 - y = 82 - 42
x = 40
