Question

a dress is regularly priced at $124. for a sale, the price was reduced by 40%.
(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: 40, 100, 124, x
/ = /
(b) use the proportion from part (a) to find the reduction in price. do not round any computations.
reduction in price: $
(c) what was the price of the dress during the sale? do not round any computations.
price during the sale: $

Explanation:

Step1: Set up proportion for discount

$\frac{40}{100} = \frac{x}{124}$

Step2: Solve for x (cross multiply)

$100x = 40 \times 124$
$100x = 4960$
$x = \frac{4960}{100}$

Step3: Calculate sale price

$\text{Sale Price} = 124 - x$

Answer:

(a) $\boldsymbol{\frac{40}{100} = \frac{x}{124}}$
(b) $\boldsymbol{49.60}$
(c) $\boldsymbol{74.40}$