9514 1404 393
Answer:
equations: q+n = 103; 0.05n +0.25q = 8.75
solution: q=18; n=85
Step-by-step explanation:
Write one equation for the number of coins:
q+n=103.
Write another equation for the value of the coins:
0.05n +0.25q = 8.75.
It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.
0.05(103 -q) +0.25q = 8.75
5.15 +0.20q = 8.75
0.20q = 3.60
q = 18
n = 103 -18
n = 85
Wes has 18 quarters and 85 nickels.
