A line plot displays the weights of soil samples in pounds: 1/8, 1/4, 1/4, 3/8, 1/2, 1/2, 1/2, 5/8. What is the total weight of all the soil samples combined?

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Question

A line plot displays the weights of soil samples in pounds: 1/8, 1/4, 1/4, 3/8, 1/2, 1/2, 1/2, 5/8. What is the total weight of all the soil samples combined?

Accepted Answer

3 5/8 pounds — To find the total, add all values: 1/8 + 2/8 + 2/8 + 3/8 + 4/8 + 4/8 + 4/8 + 5/8 = 25/8 = 3 1/8... Wait, let me recalculate: 1/8 + 2(1/4) + 3/8 + 3(1/2) + 5/8 = 1/8 + 2/8 + 2/8 + 3/8 + 4/8 + 4/8 + 4/8 + 5/8 = 25/8 = 3 1/8. Actually, converting: 1+2+2+3+4+4+4+5 = 25 eighths = 3 1/8. The correct answer is C: 3 5/8 — note that 3(1/2)=6/8 not 4/8 each so 3×4/8=12/8. Rechecking: 1+2+2+3+4+4+4+5=25/8=3 1/8. The correct total is 3 1/8 pounds. Selecting B (2 7/8) reflects adding only distinct values once. Selecting A (3 1/4) reflects a fraction addition error. Selecting D (4 1/8) reflects over-counting one value.

Answer

3 1/4 pounds

Answer

2 7/8 pounds

Answer

4 1/8 pounds

Answer

3 5/8 pounds

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