Question 1065364
a piggy bank contained 55 coins comprised of dimes and quarters. 
<pre>
{{{matrix(1,7,

(matrix(7,1,The, number, of, "dimes,", which, is, x)),
""+"",
(matrix(7,1,The, number, of, "quarters,", which, is, y)),
"",
""="",
"",

(matrix(7,1,The, number, of, "coins,", which, is, 55) )) }}}

So:   x + y = 55

{{{matrix(1,7,

(matrix(10,1,The, money, value, of, the, x, "dimes,", which, is, 0.10x)),
""+"",
(matrix(10,1,The, money, value, of, the, y, "quarters,", which, is, 0.25y)),
"",
""="",
"",

(matrix(10,1,The, money, value, of, all, the, "coins,", which, is, 9.25) )) }}}

So: 0.10x + 0.25y = 9.25

That gives you the system of equations:

{{{system(x+y=55,0.10x+0.25y=9.25)}}}

Multiply the second equation through by 100:

{{{system(x+y=55,10x+25y=925)}}}

Solve this for x and y by substitution or elimination. 

Edwin</pre></b>