Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Autumn has.

Correct answer: Nickels x = 11 and pennies y = 9

Step-by-step explanation:

We will first define the variables in the system:

Let be nickels x and pennies y

We will form a system to solve this problem:

5 x + 1 y = 64

x + y = 20 / · (-1)

we will first multiply the second equation by - 1 and add it by the first and get:

4 x = 44 ⇒ x = 44 / 4 = 11 nickels

x = 11 nickels

from the other we get y

y = 20 - x = 20 - 11 = 9 pennies

y = 9 pennies

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