Question

Quincy lives on pretzels and seafood salads. The price of pretzels is 1 dollar per bag and the price of seafood salads is 2 dollars each. Quincy allows himself to spend no more than 14 dollars a day on food. He also restricts his consumption to 3,400 calories per day. There are 600 calories in a bag of pretzels and 200 calories in a seafood salad. If he spends his entire money budget each day and consumes no more calories than his calorie limit, he can consume up to:_______.

A) 2 bags of pretzels per day but no more.
B) 5 seafood salads per day but no more.
C) 4 bags of pretzels per day but no more.
D) 5 bags of pretzels per day but no more.
E) None of the above.

Answer 1

C) 4 bags of pretzels per day but no more.

Step-by-step explanation:

Let x represent the amount of pretzels bought and let y represent the amount of seafood bought.

Since Quincy allows himself to spend no more than 14 dollars a day on food, hence:

x + 2y ≤ 14 (1)

He also restricts his consumption to 3,400 calories per day, hence:

600x + 200y ≤ 3400 (2)

Also, x, y > 0 (3)

Plotting the constraints of equation, 1, 2 and 3 using geogebra online graphing tool

From the graph, the point that satisfy this equation is (4, 5). That is 4 pretzels and 5 seafood.

This means that he can consume 4 bags of pretzels per day but no more.