Question

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

Answer 1

let x the half of the amount of bill
my payment a
payment of friend b

a= x + 5

b= x + 25% x = x + 1/4 x


Since you and your friend pay the same total, a=b

x+5 = x + 1/4 x

5= 1/4 x
x= 5 x4 = 20

the half of the bill is 20