Question

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. if grandma helen knits at the same rate, how many minutes will it take her to make shannons scarf?

Explanation:

Step1: Calculate knitting rate

Let the rate be $r$. We know that for a 35 - inch scarf, it took 70 minutes. Rate $r=\frac{\text{time}}{\text{length}}$, so $r = \frac{70}{35}=2$ minutes per inch.

Step2: Calculate time for 50 - inch scarf

To find the time $t$ for a 50 - inch scarf, we use the formula $t=r\times\text{length}$. Substituting $r = 2$ and length = 50, we get $t=2\times50 = 100$ minutes.

Answer:

100