Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pen nies and the number of nickels that Autumn has.
1 answer:
Answer:
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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