To find out if Sarah has enough yarn for all 24 picture frames, we need to determine how much yarn she requires in total and compare that with the amount of yarn she has.
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Calculate Required Yarn for 24 Picture Frames:
- Each picture frame requires 40 inches of yarn.
- Total yarn needed for 24 frames = 40 inches/frame × 24 frames = 960 inches.
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Compare Yarn Available:
- Sarah has 950 inches of yarn.
Now, we can determine whether she has enough:
- She needs 960 inches but only has 950 inches.
- This means she does not have enough yarn for all 24 picture frames.
Now let’s evaluate the options provided:
A. Because \(950 \div 40 = 24 R 10\), she has enough yarn for all 25 picture frames. (Incorrect since she needs 960 inches.)
B. Because \(950 \div 40 = 24 R 10\), she has enough yarn for only 24 picture frames. (Incorrect since she needs 960 inches.)
C. Because \(950 \div 40 = 23 R 30\), she has enough yarn for only 23 picture frames. (This would be correct since she can only use enough for 23 picture frames, which totals 920 inches.)
D. Because (950 \div 40 = 23 R, she has enough beyond for only 24 picture frames. (This is also incorrect.)
The closest correct explanation is C, as she has enough yarn for only 23 picture frames and cannot cover all 24.
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