Question

joll is regularly priced at $118. for a sale, the price was reduced by 30%.
(a) let x be the reduction in price (in dollars). using the values below, create a proportion that can be used to find x.
values: 30 100 118 x
(b) use the proportion from part (a) to find the reduction in price. do not round any computations.
reduction in price: $

Explanation:

Part (a)

Step1: Understand Proportion for Percent Reduction

A percent reduction means the reduction amount \( x \) is to the original price (\( 118 \)) as the percent reduction (\( 30\% \)) is to \( 100\% \). So the proportion is \(\frac{30}{100}=\frac{x}{118}\).

Step1: Cross - Multiply the Proportion

From \(\frac{30}{100}=\frac{x}{118}\), cross - multiply: \(100x = 30\times118\).

Step2: Calculate the Right - Hand Side

\(30\times118 = 3540\).

Step3: Solve for \(x\)

Divide both sides by \(100\): \(x=\frac{3540}{100}\).

Step4: Simplify the Fraction

\(\frac{3540}{100}=35.4\).

Answer:

\(\boldsymbol{\frac{30}{100}=\frac{x}{118}}\)

Part (b)