Problem Analysis and Solution
The worksheet focuses on multiplying decimals, and the problems involve real-world scenarios. Let's solve each problem step by step.
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Problem 1:
Jan weighs 170 pounds. On Mercury, she would weigh 0.36 times this amount. How much would she weigh on Mercury?
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Keyword: "times"
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Solution Steps:
1. Jan's weight on Earth is 170 pounds.
2. On Mercury, her weight is 0.36 times her Earth weight.
3. Calculate: \( 170 \times 0.36 \).
Perform the multiplication:
\[
170 \times 0.36 = 61.2
\]
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Answer: Jan would weigh
61.2 pounds on Mercury.
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Problem 2:
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?
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Keyword: "times"
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Solution Steps:
1. The radio weighs 5.6 pounds on Earth.
2. On Jupiter, its weight is 2.64 times its Earth weight.
3. Calculate: \( 5.6 \times 2.64 \).
Perform the multiplication:
\[
5.6 \times 2.64 = 14.784
\]
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Answer: The radio would weigh
14.784 pounds on Jupiter.
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Problem 3:
There are 400 mangoes in a barrel. Each mango weighs 0.75 pounds. What is the total weight of the mangoes in the barrel?
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Keyword: "total weight"
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Solution Steps:
1. There are 400 mangoes.
2. Each mango weighs 0.75 pounds.
3. Calculate the total weight: \( 400 \times 0.75 \).
Perform the multiplication:
\[
400 \times 0.75 = 300
\]
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Answer: The total weight of the mangoes in the barrel is
300 pounds.
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Problem 4:
Tina purchased 12 tickets to Junkanoo at a cost of $25.50 per ticket. What is the total cost of all twelve tickets?
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Keyword: "total cost"
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Solution Steps:
1. Tina bought 12 tickets.
2. Each ticket costs $25.50.
3. Calculate the total cost: \( 12 \times 25.50 \).
Perform the multiplication:
\[
12 \times 25.50 = 306.00
\]
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Answer: The total cost of all twelve tickets is
$306.00.
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Final Answers:
1.
Keyword: times,
Answer: 61.2 pounds
2.
Keyword: times,
Answer: 14.784 pounds
3.
Keyword: total weight,
Answer: 300 pounds
4.
Keyword: total cost,
Answer: $306.00
\boxed{61.2, 14.784, 300, 306.00}
Parent Tip: Review the logic above to help your child master the concept of decimal word problem worksheet.
