Question

boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yesterday morning. If boris found 14 more dimes than nickels, how many nickels did he find

Answer 1

32 Nickels

Explanation:

Given

Coins: Nickels (N) and Dimes (D)

$0.05 = 1 nickel and $0.10 = 1 dime

So, the amount implies:

`0.05N + 0.10D = 6.20`

The number of coin implies:

`D = 14 + N`

Required

Determine the number of nickels found

Substitute 14 + N for D in
`0.05N + 0.10D = 6.20`

`0.05N + 0.10(14 + N) = 6.20`

`0.05N + 1.4 + 0.10N = 6.20`

Collect Like Terms

`0.05N + 0.10N = 6.20 - 1.4`

`0.15N = 4.8`

Solve for N

`N = 4.8/0.15`

`N = 32`

Hence, he found 32 nickels