Let s represent number of shirts and h represent number of hats.
We have been given that 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 and hats for $8 each.
The cost of s shirts would be [tex]10s[/tex] and cost of h hats would be [tex]8h[/tex]. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:
[tex]10s+8h\leq 1800[/tex]
We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:
[tex]s\geq 5h[/tex]
Therefore, the second inequality should be [tex]s\geq 5h[/tex] and option C is the correct choice.
