Answer: 41 nickels, 54 quarters
Step-by-step explanation:
Let N represent the quantity of nickels
Let Q represent the quantity of quarters
Note that the value of a nickel is 5 cents (.05)
and the value of a qaurter is 25 cents (.25)
Value: .05N + .25Q = 12.95
Quantity: N + Q = 95
We have a system of equations. Use Elimination Method to solve.
100(.05N + .25Q = 12.95) → 5N + 25Q = 1295
-5 (N + Q = 95) → -5N - 5Q = -475
20Q = 820
÷20 ÷20
Q = 41
Input the value of Q into one of the equations to solve for N
N + Q = 95
N + 41 = 95
N = 54
Check:
.05N + .25Q = 12.95
.05(54) + .25(41) = 12.95
2.70 + 10.25 = 12.95
12.95 = 12.95 [tex]\large\checkmark[/tex]
