<PRE><B>Question 61587</B>
Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?

Merlin has some quarters, Q, and some dimes, D. {{{Q+D=20}}} because he has 20 coins.

The total values is 395 so {{{25Q+10D=395}}}.
Since {{{Q+D=20}}} {{{D=20-Q}}}.
So, {{{25Q+10(20-Q) = 395}}} or {{{25Q+200-10Q = 395}}}
Or, {{{15Q+200=395}}}
Or, {{{15Q=195}}}.
So, Q=13 and D must = 7 since there are 20 coins in total.

Verify: {{{13*25+7*10 = 325+70 = 395}}}.</PRE>