Question

School sweatshirts cost $8 or $12 depending on the size (youth or adult). The total amount of money brought in at a Friday morning spirit sale was at most $216.00. Let x = the number of youth sweatshirts and y = the number of adult sweatshirts. Write a linear inequality that describes the situation. 8x + 12y ≥ 216 8x + 12y ≤ 216 8x + 12y < 216 8x + 12y > 216

Answer 1

8x + 12y ≤ 216

Explanation:

Letting x represent the number of youth sweatshirts, we know that each one costs $8. This gives us the expression 8x.

Letting y represent the number of adult sweatshirts, we know that each one costs $12. This gives us the expression 12y.

Together this gives us the expression 8x+12y.

"At most" means the amount of money brought in could be that much or less. This means the symbol less than or equal to, which gives us

8x + 12y ≤ 216.

Answer 2

8x + 12y ≤ 216

Explanation:

'At most' means that it could be less than or equal to $216.