Question

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. 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. Tap on photo for choices.

Answer 1

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
`10s` and cost of h hats would be
`8h`. 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:

`10s+8h\leq 1800`

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:

`s\geq 5h`

Therefore, the second inequality should be
`s\geq 5h` and option C is the correct choice.