Problema Solution

Ronan has some nickels and pennies. He has 14 more nickels than pennies. The total value of the coins is $1.30. Which system of liners equations can be used to find the number of nickels

Answer provided by our tutors

let


p = the number of pennies, p>0

n = number of nickles, n>0


1 penny = 1 cent

1 nickle = 5 cents


He has 14 more nickels than pennies:


n = 14 + p


The total value of the coins is $1.30 = 130 cents:


1*p + 5*n = 130


we have the following system of linear equations:


n = 14 + p


1*p + 5*n = 130


by solving we find:


p = 10 pennies


n = 24 nickles


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there are 10 pennies and 24 nickles.