auburnchick0529
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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?

AWrite an equation. Let x be the cost of half the bill.
BSolve the equation. Show your work.
CCheck your solution. Show your work.
DState the solution in complete sentences.

Verified Answer :

texaschic101

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.

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