Question

A doll is regularly priced at $113. For a sale, the price was reduced by 55%.
(a)
Let x be the reduction in price (in dollars). Using the values below, create a proportion that can be used to find *.
?
Values:
55, 100, 113, 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 doll during the sale? Do not round any computations.
Price during the sale:

Answer 1

Let's solve the problem step by step.

### (a) Creating a Proportion

The reduction in price \( x \) can be represented as a proportion of the original price. The reduction percentage is 55%, and the original price is $113. We can set up the following proportion:

\[
\frac{x}{113} = \frac{55}{100}
\]

This proportion relates the reduction in price to the original price.

### (b) Finding the Reduction in Price

Now we can solve the proportion for \( x \):

\[
x = \frac{55}{100} \times 113
\]

Calculating \( x \):

\[
x = 0.55 \times 113 = 62.15
\]

So, the reduction in price is:

**Reduction in price: $62.15**.

### (c) Finding the Price of the Doll During the Sale

To find the price of the doll during the sale, we subtract the reduction in price from the original price:

\[
\text{Price during the sale} = \text{Original Price} - \text{Reduction in Price}
\]

Calculating the price during the sale:

\[
\text{Price during the sale} = 113 - 62.15 = 50.85
\]

So, the price of the doll during the sale is:

**Price during the sale: $50.85**.