Problema Solution

A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 112 cents. How many pennies does the purse contain?

Answer provided by our tutors

Let


x = the number of pennies, 1 penny = 1 cent

y = the number of nickles, 5 nickle = 5 cents

z = the number of dimes, 1 dime = 10 cents


x + 5y + 10z = 112

x = y = z


By solving the equation


16x = 112


we find


x = 7


The purse contains 7 pennies.