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?

Question

Kennedy Adams · Accepted Answer

$20

Lets put that question into an equation. #a# = Your Payment #b# = Your Friend's Payment #x# = Bill What you're trying to find = #1/2x# #1/2x+5=a# #1/2x+25%# of #1/2x=b# #25%=1/4# Since you and your friend pay the same total, #a=b# If #a=b#, #1/2x+5=1/2x+1/4(1/2x)# First, you want to simplify. #1/2x+5=1/2x+1/8x# Multiply by 8 on both sides to get rid of those fractions #4x+40=4x+x# Subtract #4x# on both sides to find #x# #40=x# Remember, you're looking for HALF the bill, so it'd be #1/2# of x Answer = #20# This might be the wrong answer, since the question says that there is a tip. If the tip was not included in the equation, then I find $20 to be half the bill.

Jameson Allen · Answer

undefined Half the bill is $20.