Problema Solution

Kevin and Randy have a jar containing 48 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.80. How many of each type of coin do they have?

Answer provided by our tutors

let


x = number of quarters

y = number of nickles


1 quarter = $0.25

1 nickle = $0.05


Kevin and Randy have a jar containing 48 coins


x + y = 48


the total value of the coins in the jar is $6.80


0.25x + 0.05y = 6.80


by solving the system of equations


x + y = 48

0.25x + 0.05y = 6.80


we find


x = 22 quarters


y = 26 nickles


Kevin and Randy have 22 quarters and 26 nickels.