Question

Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.

Answer 1

11 pennies and 9 nickels

Explanation:

Set up a system of equations where p is the number of pennies and n is the number of nickels:

p + n = 20

0.01p + 0.05n = 0.56

Solve by substitution by rearranging the first equation:

p + n = 20

p = 20 - n

Then, plug this in as p into the second equation, and solve for n:

0.01p + 0.05n = 0.56

0.01(20 - n) + 0.05n = 0.56

0.2 - 0.01n + 0.05n = 0.56

0.2 + 0.04n = 0.56

0.04n = 0.36

n = 9

Then, plug this into the first equation to solve for p:

p + n = 20

p + 9 = 20

p = 11

So, Jayden has 11 pennies and 9 nickels