Question 4978
Let x = number of quarters.  The rest of the 103 coins are dimes, so
103 - x = number of dimes.


In order to work the whole problem in cents, change the $15.25 to cents:  1525 cents.


Value of quarters + value of dimes = Total value of coins
25(x) + 10(103 - x) = 1525
25x + 1030 - 10x = 1525
15x + 1030 = 1525
15x + 1030 - 1030 = 1525 - 1030 
15x = 495

{{{15x/15 = 495/15}}}
{{{x = 33}}} Quarters


Number of dimes 
= 103 - x
= 103 - 33
= 70 Dimes


Check:  Total value = $15.25
Quarters .25(33) = $8.25
Dimes    .10(70) =  7.00
Total = $15.25


R^2 at SCC