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kap26 [50]
3 years ago
13

boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yester

day morning. If boris found 14 more dimes than nickels, how many nickels did he find
Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

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:

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

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