Problem Explanation:
The worksheet focuses on calculating discounts, which involves finding the amount saved and then determining the sale price after applying the discount. The general steps are:
1.
Convert the discount rate to a decimal.
2.
Calculate the discount amount by multiplying the original price by the decimal form of the discount rate.
3.
Find the sale price by subtracting the discount amount from the original price.
We will solve each problem step by step using this procedure.
---
Problem 1:
A $40 dress is marked "Save 25%."
-
What is the discount?
-
What is the sale price of the dress?
####
Step-by-Step Solution:
1.
Discount Rate: 25%
Convert 25% to a decimal:
\[
25\% = 0.25
\]
2.
Calculate the Discount Amount:
Multiply the original price ($40) by the decimal form of the discount rate (0.25):
\[
\text{Discount} = 0.25 \times 40 = 10
\]
3.
Calculate the Sale Price:
Subtract the discount amount from the original price:
\[
\text{Sale Price} = 40 - 10 = 30
\]
####
Final Answer for Problem 1:
\[
\boxed{\text{The discount is \$10 and the sale price is \$30.}}
\]
---
Problem 2:
A $12 case of soda is labeled "Get a 20% discount."
-
What is the discount?
-
What is the sale price of the case of soda?
####
Step-by-Step Solution:
1.
Discount Rate: 20%
Convert 20% to a decimal:
\[
20\% = 0.20
\]
2.
Calculate the Discount Amount:
Multiply the original price ($12) by the decimal form of the discount rate (0.20):
\[
\text{Discount} = 0.20 \times 12 = 2.40
\]
3.
Calculate the Sale Price:
Subtract the discount amount from the original price:
\[
\text{Sale Price} = 12 - 2.40 = 9.60
\]
####
Final Answer for Problem 2:
\[
\boxed{\text{The discount is \$2.40 and the sale price is \$9.60.}}
\]
---
Problem 3:
A $5.00 jar of candy is labeled "50% off."
-
What is the discount?
-
What is the sale price of the jar of candy?
####
Step-by-Step Solution:
1.
Discount Rate: 50%
Convert 50% to a decimal:
\[
50\% = 0.50
\]
2.
Calculate the Discount Amount:
Multiply the original price ($5.00) by the decimal form of the discount rate (0.50):
\[
\text{Discount} = 0.50 \times 5.00 = 2.50
\]
3.
Calculate the Sale Price:
Subtract the discount amount from the original price:
\[
\text{Sale Price} = 5.00 - 2.50 = 2.50
\]
####
Final Answer for Problem 3:
\[
\boxed{\text{The discount is \$2.50 and the sale price is \$2.50.}}
\]
---
Summary of All Answers:
1.
Dress: Discount = \$10, Sale Price = \$30
2.
Case of Soda: Discount = \$2.40, Sale Price = \$9.60
3.
Jar of Candy: Discount = \$2.50, Sale Price = \$2.50
\[
\boxed{\text{The answers are as calculated above.}}
\]
Parent Tip: Review the logic above to help your child master the concept of sales tax and discount worksheet answer key.