Question

Darcie wants to crochet a minimum of 3 33 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1 15 15 1 ​ start fraction, 1, divided by, 15, end fraction of a blanket per day. She has 60 6060 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s ss, Darcie can skip crocheting and still meet her goal.

Answer 1

`(1)/(15)(60-s)\geq 3`

Explanation:

Here, s represents the number of days Darcie can skip crocheting and still meet her goal.

Since, total days = 60,

Number of days for crocheting = 60 - s

∵ Darcie crochets at a rate of 1/15 of a blanket per day.

So, the total crochets made = crocheting rate per day × number of days for crocheting

`(1)/(15)* (60-s)`

According to the question,

Total crochets ≥ 3

`(1)/(15)* (60-s)\geq 3`

Which is the required inequality.