Question

Larry's Lemons is a street vendor business that sells lemonade and lemon bars. A cup of lemonade sells for $2 and a lemon bar sells for $1.50. When all related business expenses are included, a cup of lemonade costs $0.25 to prepare and a lemon bar costs $0.20 to prepare.
Last Monday, one of the vendors selling Larry's Lemons sold at least $500 worth of lemonade and lemon bars and its expenses were no more than $100. At least 150 cups of lemonade were sold.

Let x be the number of cups of lemonade sold last Monday and y be the number of lemon bars sold last Monday.

Which ordered pairs representing a combination of cups of lemonade and lemon bars could have been sold last Monday and make sense in the context of the situation?

Select each correct answer.



(160,110)(160,110)

(232.5,200)(232.5,200)

(155,305.5)(155,305.5)

(150,200)(150,200)

(180,100)

Answer 1

We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...

• x ≥ 150
• y ≥ 0
• 2x +1.5y ≥ 500
• 0.25x +0.20y ≤ 100

A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.

The correct choices are ...

• (150, 200)
• (180, 100)