Question

percents
writing a proportion to solve a multi-step problem invo
dante took a taxi to the airport. he paid the driver the fee of $141 and gave her an additional 22% tip.
(a) let x be the amount dante gave as a tip (in dollars). using the values below, create a
proportion that can be used to find x.
values: 22 100 141 x
\\(\frac{\square}{\square}=\frac{\square}{\square}\\)
(b) use the proportion from part (a) to find the amount dante gave as a tip. do not round
any computations.
amount of tip: $\square
(c) what was the total amount dante gave the driver, including the tip? do not round any
computations.
\\(\square\\)

Explanation:

Step1: Set up tip proportion

A tip percentage is the ratio of tip to the original fee, equal to the percentage over 100.
$$\frac{22}{100} = \frac{x}{141}$$

Step2: Solve for tip amount x

Cross-multiply and isolate x.
$$x = 141 \times \frac{22}{100} = 141 \times 0.22 = 31.02$$

Step3: Calculate total payment

Add original fee and tip.
$$141 + 31.02 = 172.02$$

Answer:

(a) $\frac{22}{100} = \frac{x}{141}$
(b) $\$31.02$
(c) $\$172.02$