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(b) use the proportion from part (a) to find the reduction in price. do…

Question

(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 toy during the sale? do not round any computations.
price during the sale: $
values:
35
100
126
x
chart with proportion boxes

Explanation:

Step1: Set up the proportion

From the values (35, 100, 126, \( x \)), the proportion is \(\frac{35}{100}=\frac{x}{126}\) (assuming part (a) was a proportion related to percentage reduction, say 35% reduction as 35/100, and we need to find reduction for 126).

Step2: Solve for \( x \) (reduction)

Cross - multiply: \( 100x = 35\times126 \). Then \( x=\frac{35\times126}{100}=\frac{4410}{100} = 44.1 \). So reduction in price is $44.1.

Step3: Find sale price

Original price is $126, sale price = original price - reduction = \( 126 - 44.1=81.9 \).

Answer:

(b) Reduction in price: $44.1
(c) Price during the sale: $81.9