An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and

Question

An employee at a restaurant prepares sandwiches and salads. It takes the employee $1.5$ minutes to prepare a sandwich and $1.9$ minutes to prepare a salad. The employee spends a total of $46.1$ minutes preparing $x$ sandwiches and $y$ salads. Which equation represents this situation?

A.

$1.9 x + 1.5 y = 46.1$

B.

$1.5 x + 1.9 y = 46.1$

C.

$x + y = 46.1$

D.

$30.7 x + 24.3 y = 46.1$

Accepted Answer

Choice B is correct. It&rsquo;s given that the employee takes 1.5 minutes to prepare a sandwich. Multiplying 1.5 by the number of sandwiches, x , yields 1.5 x , the amount of time the employee spends preparing x sandwiches. It&rsquo;s also given that the employee takes 1.9 minutes to prepare a salad. Multiplying 1.9 by the number of salads, y , yields 1.9 y , the amount of time the employee spends preparing y salads. It follows that the total amount of time, in minutes, the employee spends preparing x sandwiches and y salads is 1.5 x + 1.9 y . It's given that the employee spends a total of 46.1 minutes preparing x sandwiches and y salads. Thus, the equation 1.5 x + 1.9 y = 46.1 represents this situation. Choice A is incorrect. This equation represents a situation where it takes the employee 1.9 minutes, rather than 1.5 minutes, to prepare a sandwich and 1.5 minutes, rather than 1.9 minutes, to prepare a salad. Choice C is incorrect. This equation represents a situation where it takes the employee 1 minute, rather than 1.5 minutes, to prepare a sandwich and 1 minute, rather than 1.9 minutes, to prepare a salad. Choice D is incorrect. This equation represents a situation where it takes the employee 30.7 minutes, rather than 1.5 minutes, to prepare a sandwich and 24.3 minutes, rather than 1.9 minutes, to prepare a salad.

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