Question

John is doing a fundraiser for school. He needs to sell at least $200 worth of items. John is selling shirts for $10 each and hats for $8 each. He must sell more than 12 hats. \ a) Write the system of inequalities that model this situation. Let x represent how many shirts he sells and y represent how many hats he sells.

Answer 1

To model John's fundraiser, the system of inequalities is 10x + 8y ≥ 200 (to represent the sales goal) and y > 12 (as he must sell more than 12 hats).

Step-by-step explanation:

To write a system of inequalities that models John's fundraiser situation, we need to consider the price of the items he sells and the goals he needs to meet.

Let x represent the number of shirts he sells and y represent the number of hats he sells.

The shirt costs $10, and the hat costs $8. He needs to raise at least $200, so we can write our first inequality:

10x + 8y ≥ 200

Since John needs to sell more than 12 hats, our second inequality can be written as:

y > 12

The system of inequalities that models the situation is:

• 10x + 8y ≥ 200
• y > 12

Answer 2

10x + 8y = $200

Where y > 12

Step-by-step explanation:

Let x represent how many shirts he sells

y represent how many hats he sells.

John is doing a fundraiser for school. He needs to sell at least $200 worth of items. John is selling shirts for $10 each and hats for $8 each.

He must sell more than 12 hats.

y > 12

$10 × x + $8×y = $200

10x + 8y = $200

Where y > 12

The system of inequalities that model this situation is :

10x + 8y = $200

Where y > 12