Question 311525
Patricia's bill for one year of college is $24,500.
 The tuition charge costs $4,000 more than room and board costs.
 This bill also includes $500 for fees and other charges.
 How much is the yearly tuition charge.
:
Let x = charge for tuition
It says," tuition charge costs $4,000 more than room and board costs." therefore
(x-4000) = room and board charge
:
The equation:
Tuition + Board&Room + fees/other charges = $24,500
x + (x-4000) + 500 = 24500
2x - 4000 + 500 = 24500
2x - 3500 = 24500
2x = 24500 + 3500 
2x = 28000
x = {{{28000/2}}}
x = $14000 tuition charge
;
:
Check this solution by finding the sum:
Board and room: 14000-4000 = $10000
Total
14000 + 10000 + 500 = 24500