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the number of nickels exceeds the number of dimes by 7. the total value of the coins is $1.55. How many coins of each type are there?

1 Answer

4 votes

Answer:

15 nickels and 8 dimes

Explanation:

Let N = number of nickels and D = number of dimes

N - D = 7 (the number of nickels exceeds the number of dimes by 7.)

or

N = D + 7

Total value of N nickels = 5N

Total value of D nickels = 10D

Combined total value => 5N + 10D = 155

Substitute for N in terms of D
==> 5(D + 7) + 10D = 155

5D + 35 + 10D = 155

15D + 35 = 155

15D = 155 - 35

15D = 120

D = 120/15

D = 8

N = D + 7 = 8 + 7 = 15

15 nickels and 8 dimes

User Andres Zapata
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