Question

You are baking two kinds of cake. Each batch of chocolate cake needs 1.5 cups of sugar and 3 cups of flour. Each batch of cinnamon cake needs 2.5 cups of sugar and 3.5 cups of flour. You have 18 cups of sugar and 20 cups of flour. What is the equation that represents this situation?

A. 1.5x + 2.5y = 18
B. 3x + 3.5y = 20
C. 1.5x + 3y = 18
D. 2.5x + 3.5y = 20

Answer 1

The correct equations to represent the baking scenario are 1.5x + 2.5y = 18 for sugar and 3x + 3.5y = 20 for flour. However, these correctly formed equations are not among the options provided, indicating a potential error in the question or options given.

Step-by-step explanation:

The situation described involves a system of equations involving the amounts of sugar and flour used in baking two kinds of cakes. If we let x represent the number of batches of chocolate cake and y represent the number of batches of cinnamon cake, then we can use the given information to set up two equations. The first equation represents the use of sugar: 1.5x (for chocolate cake) plus 2.5y (for cinnamon cake) equals the total amount of sugar available, which is 18 cups. The second equation represents the use of flour: 3x (for chocolate cake) plus 3.5y (for cinnamon cake) equals the total amount of flour available, which is 20 cups.

Therefore, the equations that represent this situation are:

1. 1.5x + 2.5y = 18 (for sugar)
2. 3x + 3.5y = 20 (for flour)

However, these equations are not among the options provided in the question. The options each contain only one equation rather than a system of two equations. Nevertheless, neither of the given options correctly matches the pair of equations that best represents this situation.