Answer:
32 Nickels
Step-by-step explanation:
Given
Coins: Nickels (N) and Dimes (D)
$0.05 = 1 nickel and $0.10 = 1 dime
So, the amount implies:
[tex]0.05N + 0.10D = 6.20[/tex]
The number of coin implies:
[tex]D = 14 + N[/tex]
Required
Determine the number of nickels found
Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]
[tex]0.05N + 0.10(14 + N) = 6.20[/tex]
[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]
Collect Like Terms
[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]
[tex]0.15N = 4.8[/tex]
Solve for N
[tex]N = 4.8/0.15[/tex]
[tex]N = 32[/tex]
Hence, he found 32 nickels
