Question

1. the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. they can buy shirts for $10 each hats for $8 each. they plan to buy at least 5 times as many shirts as hats. the organizers used these inequalities to determine the number of shirts, s, and hats, h, that can be ordered. $10s + 8h \leq 1800$ $h \geq 5s$ what error did the organizers make? \LXI0 a. the second inequality should be $s \geq 5h$. \LXI1 b. the inequalities should be equations \LXI2 c. the first inequality should be $10s + 8h \geq 1800$. \LXI3 d. the first inequality should be $s + h \leq 1800$.

Explanation:

The problem states the organizers plan to buy at least 5 times as many shirts as hats. Let $s$ = number of shirts, $h$ = number of hats. This means the number of shirts must be greater than or equal to 5 times the number of hats, so the correct inequality is $s \geq 5h$. The organizers incorrectly wrote $h \geq 5s$, reversing the relationship between shirts and hats.

Answer:

A. The second inequality should be $s \geq 5h$.