Rafael sold t-shirts and hats at a festival. He made a $3 profit for each t-shirt he sold. He also made a profit $45 from selling hats. If he made a total profit of $93, how many t-shirts did he sell?

16

Step-by-step explanation:

The total profit is $93

He made a $45 profit selling hats

The question says he only sold t-shirts and hats

Since we are solving for the amount of t-shirts sold we subtract $45 from $93 and get $48 dollars earned from t-shirts

He makes $3 per t-shirt

We divide the amount per t-shirt by the total t-shirt money earned

This looks like: 48/3

We get 16 as our answer

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74