Question

Henry knits hats and scarves with yarn. He uses 250 yards of yarn for each hat and 525 yards of yarn for each scarf.

Create an inequality to show how many hats, h, and scarves, s, Henry can knit with his 2000 yards of yarn.

Answer 1

An inequality representing the number of hats, h, and scarves, s, Henry can knit with 2000 yards of yarn is 250h + 525s ≤ 2000.

Step-by-step explanation:

To create an inequality that represents the number of hats, h, and scarves, s, Henry can knit with his 2000 yards of yarn, consider the yardage needed for each item.

Henry uses 250 yards for each hat and 525 yards for each scarf.

So, for h hats and s scarves, the total yardage used would be 250h + 525s.

Given that Henry has 2000 yards of yarn at his disposal, the inequality should reflect that the total yardage used for hats and scarves must be less than or equal to 2000 yards: 250h + 525s ≤ 2000

This inequality represents the budget constraint that Henry has in terms of yarn yardage, similar to how a financial budget constraint would work.

It's important to use this information efficiently to maximize the number of items Henry can knit.