The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e

Question

2 months ago

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The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e

ach 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.

Mathematics

1 answer:

babunello [11.8K] · Answer 1 · 2026-02-24T23:45:36+03:00

Let s denote the count of shirts and h the count of hats.

According to the provided information, the talent show organizers have a budget of $1800 to purchase merchandise clothing for sale at the event. The price for shirts is $10 each, while hats are priced at $8.

The expense for s shirts is given by $10s$ , and the cost for h hats is described by $8h$ . The combined cost for s shirts and h hats must not surpass 1800, which can be expressed as:

$10s+8h\leq 1800$

Additionally, they plan to acquire at least five times more shirts than hats. This implies that the quantity of shirts should be at least five times that of hats. This can be represented as:

$s\geq 5h$

Therefore, the second inequality should be $s\geq 5h$ making option C the correct answer.