To solve this problem, we need to find the
average amount of rainwater per class — that is, the
total rainwater collected divided by the number of classes.
---
Step 1: Count the number of classes (data points)
Each "x" on the line plot represents one class. Let’s count them:
- At
1/8: 1 x →
1 class
- At
1/4: 1 x →
1 class
- At
3/8: 1 x →
1 class
- At
1/2: 2 x’s →
2 classes
- At
5/8: 1 x →
1 class
- At
3/4: 3 x’s →
3 classes
Total number of classes = 1 + 1 + 1 + 2 + 1 + 3 =
9 classes
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Step 2: Find the total amount of rainwater collected
We’ll add up all the amounts represented by each "x".
Let’s list them:
- 1 class at
1/8 → contributes
1/8
- 1 class at
1/4 → contributes
1/4
- 1 class at
3/8 → contributes
3/8
- 2 classes at
1/2 → contribute
2 × 1/2 = 1
- 1 class at
5/8 → contributes
5/8
- 3 classes at
3/4 → contribute
3 × 3/4 = 9/4
Now, let’s add them all together:
> Total = 1/8 + 1/4 + 3/8 + 1 + 5/8 + 9/4
To add fractions, find a common denominator. The least common denominator for 8 and 4 is
8.
Convert all to eighths:
- 1/8 →
1/8
- 1/4 =
2/8
- 3/8 →
3/8
- 1 =
8/8
- 5/8 →
5/8
- 9/4 =
18/8
Now add:
> 1/8 + 2/8 + 3/8 + 8/8 + 5/8 + 18/8
= (1 + 2 + 3 + 8 + 5 + 18)/8
=
37/8
So, total rainwater =
37/8 cups
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Step 3: Divide total by number of classes to find average per class
Average = Total / Number of classes = (37/8) ÷ 9
Dividing by 9 is the same as multiplying by 1/9:
> (37/8) × (1/9) =
37/72
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✔ Final Answer:
Each class would get 37/72 cups of rainwater.
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Optional Check (Decimal Approximation):
37 ÷ 72 ≈ 0.5139 cups — which makes sense, since most classes collected around 1/2 cup or more, and the average should be close to that.
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✔ So, the answer is:
37/72 cups per class
Parent Tip: Review the logic above to help your child master the concept of line plot worksheet with fractions.