Question

You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays half of the bill plus 25% of half the bill. You and your friend pay the same total amount. How much is half the bill?

A. Write an equation. Let x be the cost of half the bill.
B. Solve the equation. Show your work.
C. Check your solution. Show your work.
D. State the solution in complete sentences.

Answer 1

x + 5 = x + 0.25x
x + 5 = 1.25x
5 = 1.25x - x
5 = 0.25x
5/0.25 = x
20 = x

check...
x + 5 = x + 0.25x
20 + 5 = 20 + 0.25(20)
25 = 20 + 5
25 = 25 (correct)

Half the bill is $ 20.