In the winter, Grandma Helen knits scarves for her family members. It took her 70 minutes to make a 35-inch-long scarf for her grandson, Sean. Now, she wants to make a 50-inch-long scarf for her granddaughter, Shannon.

Question

If Grandma Helen knits at the same rate, how many minutes will it take her to make Shannon's scarf?
minutes

Answer 1

To find out how long it will take Grandma Helen to knit a 50-inch scarf for Shannon, we first need to determine her knitting rate based on the time it took her to make Sean's scarf.

She took 70 minutes to knit a 35-inch scarf.

First, we calculate her knitting rate in minutes per inch:

\[ \text{Knitting Rate} = \frac{\text{Time}}{\text{Length}} = \frac{70 \text{ minutes}}{35 \text{ inches}} = 2 \text{ minutes per inch} \]

Now that we know she takes 2 minutes to knit each inch, we can calculate how long it will take to knit a 50-inch scarf:

\[ \text{Time for 50 inches} = \text{Length} \times \text{Knitting Rate} = 50 \text{ inches} \times 2 \text{ minutes per inch} = 100 \text{ minutes} \]

Therefore, it will take Grandma Helen 100 minutes to make Shannon's scarf.