A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins?
A) 15 pennies
B) 32 pennies
C) 22 pennies
D) 4 pennies
E) 34 pennies

Question

A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins? ​
A) 15 pennies
B) 32 pennies
C) 22 pennies
D) 4 pennies
E) 34 pennies

Quizplus · Accepted Answer

Given there are 74 coins in total and the same number of nickels and dimes, but four fewer pennies than either nickels or dimes, we can set up an equation to solve for the number of each type of coin. Let x represent the number of nickels, which is equal to the number of dimes, and x-4 represent the number of pennies. The total number of coins is then 2x + (x-4) = 74, solving for x gives us 26 nickels, 26 dimes, and 22 pennies.

A Collection of Coins Has a Value of $4