SOLUTION: Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickles and dimes. There are 4 times as many dimes as nick

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Question 623759: Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickles and dimes. There are 4 times as many dimes as nickles, and the value of the dimes is $2.10 more than the value of the nickles. How many nickles and dimes does Jamil have?
Answer by MathTherapy(10551) About Me  (Show Source):
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Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickles and dimes. There are 4 times as many dimes as nickles, and the value of the dimes is $2.10 more than the value of the nickles. How many nickles and dimes does Jamil have?

Let amount of nickels be N
Then amount of dimes = 4N
.1(4N) = 2.1 + .05N
.4N = 2.1 + .05N
.4N - .05N = 2.1
.35N = 2.1
N, or amount of nickels = 2.1%2F.35, or highlight_green%286%29

Amount of dimes = 4(6) or highlight_green%2824%29

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Check
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.1(24) = 2.1 + .05(6)
2.4 = 2.1 + .3
2.4 = 2.4 (TRUE)

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