Case Study Questions for Chapter 7: Fractions and Decimals
In this chapter, we explore the concepts of fractions and decimals, their operations, and their applications in real-life situations. Below are some case study questions along with detailed answers.
Question 1: Cooking Measurements
Imagine you are helping your parents cook a large meal for a family gathering. The recipe requires 3/4 cup of sugar, but you want to double the recipe.
- How much sugar will you need in total?
- What if you only have a 1/4 cup measuring cup?
Answer:
- To double the amount of sugar, you multiply 3/4 by 2.
- Calculation: 3/4 * 2 = 6/4 = 1 1/2 cups of sugar.
- If you have a 1/4 cup measuring cup, you need to find out how many 1/4 cups are in 1 1/2 cups.
- Since 1 1/2 cups is equal to 6/4 cups, you divide 6 by 1 (the numerator of the measuring cup).
- Calculation: 6/1 = 6.
- Therefore, you need 6 of the 1/4 cup measuring cups to get 1 1/2 cups of sugar.
Question 2: Shopping Discount
You are shopping for school supplies. A backpack originally costs $40, but it's on sale for 25% off.
- How much will you pay for the backpack?
- What if you also buy a pencil case that costs $12 and is not on sale?
Answer:
- First, calculate the discount amount: 25% of $40.
- Calculation: 25/100 * 40 = $10 discount.
- Subtract the discount from the original price: $40 - $10 = $30.
- Now, if you buy a pencil case for $12, the total cost becomes:
- Calculation: $30 + $12 = $42.
- Therefore, you will pay $42 in total for both the backpack and the pencil case.
These case study questions help reinforce the concepts of fractions, percentages, and decimals, making them applicable to everyday situations.