Lesson 9
How Much in Each Group? (Part 2)
Problem 1
A group of friends is sharing \(2\frac12\) pounds of berries.
- If each friend received \(\frac54\) of a pound of berries, how many friends are sharing the berries?
- If 5 friends are sharing the berries, how many pounds of berries does each friend receive?
Solution
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Problem 2
\(\frac25\) kilogram of soil fills \(\frac13\) of a container. Can 1 kilogram of soil fit in the container? Explain or show your reasoning.
Solution
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Problem 3
After raining for \(\frac34\) of an hour, a rain gauge is \(\frac25\) filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?
- To help answer this question, Diego wrote the equation \(\frac34\div \frac25={?}\). Explain why this equation does not represent the situation.
- Write a multiplication equation and a division equation that do represent the situation.
Solution
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Problem 4
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
- 1 ticket?
- 5 tickets?
Solution
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(From Unit 2, Lesson 8.)Problem 5
Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed.
- How far did Elena go in 1 second?
- How far did Noah go in 1 second?
-
Who went faster? Explain or show your reasoning.
Solution
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(From Unit 2, Lesson 9.)Problem 6
The first row in the table shows a recipe for 1 batch of trail mix. Complete the table to show recipes for 2, 3, and 4 batches of the same type of trail mix.
number of batches | cups of cereal | cups of almonds | cups of raisins |
---|---|---|---|
1 | 2 | \(\frac13\) | \(\frac14\) |
2 | |||
3 | |||
4 |
Solution
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(From Unit 2, Lesson 11.)