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