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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 in nickels and dimes there are 2 times as many dimes as nickles and the value of the dimes is 1.65 more than the value of the nickles how many nickles and dimes does jamil have

"the change is all in nickels and dimes."

n and d are the numbers of nickels and dimes, respectively.

"there are 2 times as many dimes as nickels"

d = 2n

"the value of the dimes is 1.65 more than the value of the nickels"

0.10d = 1.65 + 0.05n

substitution

0.10(2n) = 1.65 + 0.05n

0.20n = 1.65 + 0.05n

0.15n = 1.65

n = 11

d = 2n = 22

There are 11 nickels and 22 dimes.

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