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Gabby decided to knit her grandmother a scarf as a birthday present. Before starting, Gabby predicted how long it would take to knit the scarf. When she was finished, she saw that it took her 16 hours. Her prediction had been 37.5% less than that. How long did Gabby predict it would take to knit the scarf?

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Final answer:

Gabby predicted it would take 10 hours to knit the scarf, which was 37.5% less than the actual time of 16 hours.

Step-by-step explanation:

The problem asks us to find how long Gabby predicted it would take to knit a scarf, given that her prediction was 37.5% less than the actual time taken, which was 16 hours. To solve this, we need to calculate what 37.5% of 16 hours is and then subtract that from the actual time taken.

Step 1: Find 37.5% of 16 hours. To do that, we convert the percentage to a decimal (0.375) and multiply it by the total time.

0.375 × 16 hours = 6 hours

Step 2: Subtract the predicted time from the actual time.

16 hours - 6 hours = 10 hours

Therefore, Gabby predicted that it would take her 10 hours to knit the scarf.

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