Noah has $4.25 in nickels and dimes. If he has 54 coins altogether, how many of each does he have
Let n be the number of nickels and d be the number of dimes. We have
n+d=54 --> 5n+5d=270
5n+10d=425
5d=425-270=155 --> d=31 --> n=23
From the follwoing information, we construct the equations:
5n+10d=425
n+d=54
Using the method of substitution:
5n+10(54-n)=425
5n+540-10n=425
-5n=-115
n=23 and d=31 this is our final answer.