Question 4996
Let x = number of quarters
x+ 40 = number of dimes


Working the problem in "cents", you must change the $25.00 to 2500 cents.
25(x) + 10(x+ 40) = 2500
25x + 10x + 400 = 2500
35x + 400 - 400 = 2500 - 400
35x = 2100


{{{ (35x)/35 = 2100/35 }}} 
{{{ x= 2100/35 = 60}}} quarters

x+40 = 100 dimes


Check:  Total value equals $25.
Quarters = .25(60) = $15
Dimes  = .10 (100) = $10
Total = $25


R^2 at SCC