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41 coins nickels and dimes together adds up to 2.75 how many nickels are there
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Let "n" be the number of nickels in the collection.
Then the number of dimes is (41-n).
Nickels contribute 5n cents into the total.
Dimes contribute 10(41-n) cents into the total.
The total is 5n + 10(41-n) cents.
From the other side. the total is 275 cents, according to the condition.
Hence,
5n + 10(41-n) = 275.
It is your equation to solve for "n". Simplify it:
5n + 410 - 10n = 275,
-5n = 275 - 410,
-5n = -135,
n = = 27.
Answer. The number of nickels in the collection is 27.
Check. Then the number of dimes is 41-27 = 14.
27*5 + 14*10 = 275. OK, correct !