You have $8.80 in pennies and nickels. You have twice as many nickels as pennies. Write a system of linear equations that models the situation. How many of each coin do you have?

Answer 1

Let x = number of pennies. Then 2x = number of nickels.

Value of pennies + Value of nickels = total value

So, 0.01x + 0.05(2x) = 8.80

0.11x = 8.80

x = 80

There are 80 pennies and 160 nickels.