Question 62147
<b>Joseph has 4 times as many quarters as he does dimes. If he has a total of  $2.65, how many of each type of coin does he have?</b>

Joseph has Q quarters and D dimes.
We know that {{{Q=4D}}}.
We know Joseph has 265 centers, so {{{25Q+10D = 265}}}.
Replace Q with 4D, and we get {{{25*4*D+10D = 265}}}.
Or, {{{110D = 265}}}.
This makes D not a whole number so there's something wrong with the way the problem is worded.

To verify there's something no right with the problem:

Joseph has 4 times as many quarters as dimes.
If he has 4 quarters and 1 dime, he'll have $1.10.
If he has 8 quarters and 2 dimes, he'll have $2.20.
If he has 12 quarters and 3 dimes, he'll have $3.30, which is more than $2.65.