Question

HELP PLEASE!!!

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?
1) Write an equation. LET X BE HALF OF THE BILL
2) Solve the equation. Show your work.
3) Check your solution. Show your work.
4) State the solution in complete sentences.

Answer 1

let the bill be B

Answer 2

you pay \(U = \frac{1}{2} B + 5\)

your friend pays \(F = \frac{1}{2} B + 0.25 \cdot 0.5 B\)

you pay the same amount: \( U = F \)

Solve that.

And then the question is...

....how much is \(\dfrac{B}{2}\)?