This worksheet helps students practice multiplying decimals through engaging word problems involving planetary weight and everyday purchases.

Problem Analysis and Solution

The worksheet focuses on multiplying decimals, and the problems involve real-world scenarios. We will solve each problem step by step, identifying keywords and performing the necessary calculations.

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#### Problem 1:
Question: Jan weighs 170 pounds. On Mercury, she would weigh 0.36 times this amount. How much would she weigh on Mercury?

- Keyword: "times"
- Solution Steps:
1. Identify the weight on Earth: \( 170 \) pounds.
2. The multiplier for Mercury is \( 0.36 \).
3. Multiply \( 170 \) by \( 0.36 \):
\[
170 \times 0.36 = 61.2
\]
4. Therefore, Jan would weigh \( 61.2 \) pounds on Mercury.

- Answer: \( 61.2 \) pounds

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#### Problem 2:
Question: On Jupiter, objects weigh 2.64 times as much as they weigh on Earth. How much would a 5.6-pound radio weigh on Jupiter?

- Keyword: "times"
- Solution Steps:
1. Identify the weight on Earth: \( 5.6 \) pounds.
2. The multiplier for Jupiter is \( 2.64 \).
3. Multiply \( 5.6 \) by \( 2.64 \):
\[
5.6 \times 2.64 = 14.784
\]
4. Therefore, the radio would weigh \( 14.784 \) pounds on Jupiter.

- Answer: \( 14.784 \) pounds

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#### Problem 3:
Question: There are 400 mangoes in a barrel. Each mango weighs 0.75 pounds. What is the total weight of the mangoes in the barrel?

- Keyword: "total weight"
- Solution Steps:
1. Identify the number of mangoes: \( 400 \).
2. Identify the weight of each mango: \( 0.75 \) pounds.
3. Multiply the number of mangoes by the weight of each mango:
\[
400 \times 0.75 = 300
\]
4. Therefore, the total weight of the mangoes in the barrel is \( 300 \) pounds.

- Answer: \( 300 \) pounds

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#### Problem 4:
Question: Tina purchased 12 tickets to Junkanoo at a cost of $25.50 per ticket. What is the total cost of all twelve tickets?

- Keyword: "total cost"
- Solution Steps:
1. Identify the number of tickets: \( 12 \).
2. Identify the cost per ticket: \( \$25.50 \).
3. Multiply the number of tickets by the cost per ticket:
\[
12 \times 25.50 = 306.00
\]
4. Therefore, the total cost of all twelve tickets is \( \$306.00 \).

- Answer: \( \$306.00 \)

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Final Answers:

1. Keyword: "times"
Answer: \( \boxed{61.2} \) pounds

2. Keyword: "times"
Answer: \( \boxed{14.784} \) pounds

3. Keyword: "total weight"
Answer: \( \boxed{300} \) pounds

4. Keyword: "total cost"
Answer: \( \boxed{306.00} \) dollars

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Summary:

Each problem involves identifying a keyword that indicates multiplication and then performing the multiplication of decimals. The solutions are derived step by step, ensuring accuracy and clarity.