Question

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77. How much was the tip in dollars? Round your answer to the nearest hundredth (second) decimal place. Do not include units ($) in your answer. copied for free from openupresources.org Type your answer below as a number (example: 5, 3.1, 41/2, or 3/2): 7.77 Correct! Submit Ansiver Next Problem Problem !D: PRABETQG How much was the tip as a percentage of the bill? Round your answer to the nearest tenth.

Answer 1

Let:

T = Total

B = Bill

t = tip

The bill is $42. The family leaves a tip and spends $49.77. so:

$\begin{gathered} T=B+t \\ \text{where:} \\ T=49.77 \\ B=42 \\ \text{solve for t:} \\ 49.77=42+t \\ \text{subtract 42 from both sides:} \\ t=49.77-42 \\ t=7.77 \end{gathered}$$\begin{gathered} 42\cdot x=7.77 \\ x=\frac{7.77}{42} \\ x=0.185 \end{gathered}$