Question

Peter has $100 to spend on drinks for his party. Bottles of lemonade

cost $2 each, and juice boxes cost $0.50 each.
Ifx is the number of bottles of lemonade and y is the number of juice
boxes, which inequality models this situation?
(1) 0.50x + 2y ≤ 100
(3) 2x +0.50y≤ 100
(4) 2x + 0.50y≥ 100
(2) 0.50x + 2y ≥ 100

Answer 1

Answer: Let x be the number of bottles of lemonade and y be the number of juice boxes.

The cost of x bottles of lemonade is 2x dollars.

The cost of y juice boxes is 0.5y dollars.

The total cost of the drinks is the sum of the cost of the bottles of lemonade and the cost of the juice boxes:

2x + 0.5y ≤ 100

So the correct inequality that models this situation is:

(3) 2x + 0.50y ≤ 100

Therefore, Peter can spend no more than $100 on drinks, which includes the cost of the bottles of lemonade and the juice boxes.

Explanation: