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20-06-2018
Mathematics

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You have 52 coins consisting of dimes and nickels the coins total 3.55. How many coins are dimes how many are nickels

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choixongdong choixongdong

20-06-2018

n = # of nickels
d = # of dimes

d + n = 52 so d = 52 - n
0.10d + 0.05n = 3.55

substitute d = 52 - n into 0.10d + 0.05n = 3.55
0.10d + 0.05n = 3.55
0.10(52 - n) + 0.05n = 3.55
5.2 - 0.10n + 0.05n = 3.55
-0.05n = - 1.65
n = 33 nickels

d = 52 - 33
d = 19 dimes

Answer:
There are 33 nickels and 19 dimes.

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