Question

Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. you spend $50 on 18 pounds of food and buy twice as much flour as sugar. choose the 3 equations that will formulate a system that can be used to calculate the number of pounds of each ingredient purchased.

Answer 1

1. 5c + 3s + 2f = 50

2. c + s + f = 18

3. f = 2s

To formulate a system of equations for this problem, you can use the following information:

Chocolate pies are made from chocolate (c), sugar (s), and flour (f).

Chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound.

You spend $50 on 18 pounds of food.

You buy twice as much flour as sugar.

Let's define variables for the number of pounds of each ingredient purchased:

Let c represent the number of pounds of chocolate purchased.

Let's represent the number of pounds of sugar purchased.

Let f represent the number of pounds of flour purchased.

Now, we can write the equations:

Equation 1: The cost equation based on the given prices and total spending:

5c + 3s + 2f = 50

Equation 2: The total weight equation based on the 18 pounds of food purchased:

c + s + f = 18

Equation 3: Flour is twice the amount of sugar:

f = 2s

These three equations can be used to calculate the number of pounds of each ingredient purchased.