SOLUTION: 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

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.
I would like to see this in equation form
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
x = $14000 tuition charge
;
:
Check this solution by finding the sum:
Board and room: 14000-4000 = $10000
Total
14000 + 10000 + 500 = 24500

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