Question

Paxton is a summer camp counselor and has a budget of $300 to spend on hats and t-shirts for the campers. Let x = number of hats and y = number of t-shirts purchased. Hats cost $12 and t-shirts cost $20. Which of the following equations represents Paxton's budget constraint?

a) 12x+20y=300
b) 20x+12y=300
c) 300x+12y=20
d) 12x+300y=20
e) 300x+20y=12

Answer 1

The correct equation representing Paxton's budget constraint for the number of hats and t-shirts he can purchase within his budget is 12x + 20y = 300.

Step-by-step explanation:

The equation that represents Paxton's budget constraint for purchasing hats and t-shirts for the campers is 12x + 20y = 300. Here, x represents the number of hats, y represents the number of t-shirts, 12 is the cost of one hat, and 20 is the cost of one t-shirt. The total amount Paxton can spend is $300, which is his budget constraint. The equation is established by multiplying the quantity of each item (x for hats and y for t-shirts) by their respective unit prices and setting the sum equal to Paxton's total budget.