Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?

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Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?

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Answer 1 · 2016-12-14T13:02:15

$11$ $11$ quarter coins and $14$ $14$ nickel coins were in the bag.

Explanation:

Value of 1 nickel coin is $5$ $5$ cents
Value of 1 quarter coin is $25$ $25$ cents
Value of $$ 1$ $$1$ is $100$ $100$ cents
Value of $$ 3.45$ $$3.45$ is $345$ $345$ cents

Let the number of nikels be $n$ $n$ and the number of quarters be $q$ $q$
So $n + q = 25$ $n+q=25$ (1)
$5 n + 25 q = 345$ $5n+25q=345$ (2) multiplying eqn. (1) by 5 and then subtracting from eqn.(2) we get $5 n + 25 q = 345$ $5n+25q=345$ (2)
$5 n + 5 q = 125$ $5n+5q=125$ (1)
$20 q = 220 or q = 11; n = 25 - 11 = 14$ $20q =220 or q=11 ; n= 25-11=14$

$11$ $11$ quarter coins and $14$ $14$ nickel coins were in the bag.[Ans]

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Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?

1 Answer

Explanation:

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