https://file.aiquickdraw.com/mathbot/file/1726803842069m6ngkz6a.jpg

Let's break down and solve the questions in the problem you provided:

### Problem:
Mary buys a dress and a pair of shoes. Before adding tax:
- The dress normally sells for **$62**, but Mary pays **$48**.
- The shoes normally sell for **$46**, but Mary pays **$34**.

#### Questions:
**(a) Before tax, how much does Mary save by buying at the sale price?**  
**(b) What percent discount did Mary get on each item?**  
**(c) Including a 6.5% sales tax, how much did Mary pay?**

### Solution:
#### (a) How much did Mary save by buying at the sale price?

For the **dress**:
- Original price = $62
- Sale price = $48
- Savings = $62 - $48 = **$14**

For the **shoes**:
- Original price = $46
- Sale price = $34
- Savings = $46 - $34 = **$12**

Total savings = $14 (dress) + $12 (shoes) = **$26**

#### (b) What percent discount did Mary get on each item?

To calculate the percent discount:
\[
\text{Discount percent} = \left(\frac{\text{Savings}}{\text{Original price}}\right) \times 100
\]

For the **dress**:
\[
\left(\frac{14}{62}\right) \times 100 = 22.58\%
\]
So, the discount on the dress is **22.58%**.

For the **shoes**:
\[
\left(\frac{12}{46}\right) \times 100 = 26.09\%
\]
So, the discount on the shoes is **26.09%**.

#### (c) Including a 6.5% sales tax, how much did Mary pay?

First, we find the total cost before tax:
\[
\text{Total before tax} = 48 \text{ (dress)} + 34 \text{ (shoes)} = 82
\]

Next, calculate the tax:
\[
\text{Sales tax} = 6.5\% \times 82 = 0.065 \times 82 = 5.33
\]

Finally, the total amount Mary paid is:
\[
\text{Total with tax} = 82 + 5.33 = \boxed{87.33}
\]

### Final Answers:
- (a) Total savings: **$26**
- (b) Discount percentages: Dress: **22.58%**, Shoes: **26.09%**
- (c) Total paid after tax: **$87.33**

---

Would you like more details on any of these calculations or have any other questions?

Here are 5 related questions for further practice:
1. If the sales tax rate were 8%, how much would Mary have paid in total?
2. What would be the final price if only the shoes were taxed at 6.5%?
3. How much would Mary have saved if both items were discounted by 30%?
4. What was the original combined price of both items before the sale?
5. If the shoes were on a 50% discount, what would their sale price be?

**Tip:** When calculating percent discounts, always compare the discount to the original price, not the sale price!

Mary buys a dress and a pair of shoes. Before adding the tax, she pays $48 for the dress, which normally sells for $62, and she pays $34 for the shoes which normally sell for $46.

(a) Before tax, how much does Mary save by buying at the sale price?
(b) What percent discount did Mary get on each item?
(c) Including a 6.5% sales tax, how much did Mary pay?

Learn how to calculate total savings, percentage discounts, and the final price after a 6.5% sales tax when purchasing a dress and shoes on sale. This problem covers key arithmetic concepts and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation