136k views
3 votes
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of {1}{15} ​ start fraction, 1, divided by, 15, end fraction of a blanket per day. She has 60 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, sss, Darcie can skip crocheting and still meet her goal.

User Terry Deng
by
3.7k points

2 Answers

2 votes

Answer:

s ≤ 60 - (3 ÷ 1/15)

Explanation:

User Antulio
by
3.7k points
1 vote

Answer:

s ≤ 60 - (3 ÷ 1/15)

Explanation:

Minimum of blankets to crochet = 3

She has 60 days to crochet

She crochet at a rate of 1/15 of a blanket per day

Therefore to crochet 1 blanket

Number of days needed =x

1 blanket = rate per day * x days

1 = 1/15 * x

1 = 1/15x

Divide both sides by 1/15

x = 1 ÷ 1/15

= 1 × 15/1

= 1×15

x = 15

15 days needed to crochet 1 blanket

To crochet 3 blanket = 15 days × 3 blanket

=45 days needed.

Darcie can skip = 60 days - 45 days

= 15 days

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

s ≤ 60 - (3 ÷ 1/15)

Solving the inequality

s ≤ 60 - (3 ÷ 1/15)

s ≤ 60 - (3×15/1)

s ≤ 60 - 45

s ≤ 15

User Vincent Jacquel
by
4.4k points