Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 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, s, Darcie can skip crocheting and still meet her goal.
please use and or the equal to symbols with
Answers
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Answer:
Darcie cannot skip no more than 15 days and still meet her goal of crocheting at least 3 blankets.
Step-by-step explanation:
Let's start by finding out how many blankets Darcie can crochet in 60 days without skipping any days.
Darcie crochets at a rate of 1/15 of a blanket per day. So in 60 days, she can crochet:
blanket/day x 60 days = 4 blankets
Since Darcie wants to crochet a minimum of 3 blankets, she can accomplish her goal by crocheting for all 60 days.
Now, let's say Darcie wants to skip some days and still meet her goal of crocheting at least 3 blankets.
Let's represent the number of days she skips crocheting with the variable "s".
The total number of days Darcie has is 60, and she wants to crochet at least 3 blankets. If she skips "s" days,
then the number of days she spends crocheting is 60 - s.
The number of blankets she can crochet in the time she spends crocheting is given by:
The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal is:
This inequality can be simplified to:
Multiplying both sides by 15, we get:
Therefore, Darcie can skip no more than 15 days and still meet her goal of crocheting at least 3 blankets.
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