<PRE><B>Question 1200308</B>
25 * x + 5 * y = 735
x is the number of quarters; each quarter is worth 25 cents.
y is the number of nickels; each nickel is worth 5 cents.
you are given that x = 4 * y (4 times as many quarters as nickels)
your two equations are:
25 * x + 5 * y = 735
x = 4 * y
in the first equation, replace x with 4 * y to get:
25 * 4 * y + 5 * y = 735
simplify to get:
100 * y + 5 * y = 735
combine like terms to get:
105 * y = 735
solve for y to get:
y = 735 / 105 = 7
since x = 4 * y, then x = 28
25 * x becomes 25 * 28 = 700
5 * y becomes 5 * 7 = 35
25 * x + 5 * y becomes 700 + 35 = 735 cents.
solution is 28 quarters and 7 nickels.



</PRE>