Solve the problem.
-Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 2 times as many dimes as nickels, and the value of the dimes is
$0.90 more than the value of the nickels. How many nickels and dimes does Jamil have?
A)6 nickels and 12 dimes
B)7 nickels and 14 dimes
C)5 nickels and 10 dimes
D)12 nickels and 6 dimes

Question

Quizplus · Accepted Answer

Let the number of nickels be $n$ and the number of dimes be $d$. Given that $d = 2n$ and the value of the dimes ($0.10d$) is $0.90 more than the value of the nickels ($0.05n$), we can set up the equation $0.10d = 0.05n + 0.90$. Substituting $d = 2n$ into the equation gives $0.20n = 0.05n + 0.90$, leading to $0.15n = 0.90$, so $n = 6$. Therefore, $d = 2n = 12$, making the correct answer 6 nickels and 12 dimes.

Solve the Problem. -Jamil Always Throws Loose Change into a Pencil Holder on Pencil