Question

Which of the linear equations expresses the situation? Alliance Cannery received an order for 384 cans of food. The order can be made up of a combination of cans of fruit, which are processed at a rate of 24 cans per minute, and cans of vegetables, which are processed at a rate of 64 cans per minute.

x = number of minutes for fruit cans
y = number of minutes for vegetable cans

Answer 1

The second option, 24x + 64y = 384

Answer 2

`24x+64y=384`

Explanation:

Let x = number of minutes for fruit cans

Let y = number of minutes for vegetable cans

Cans of fruit, which are processed at a rate of 24 cans per minute, making them 24x

Cans of vegetables, which are processed at a rate of 64 cans per minute, making them 64y

Alliance Cannery received an order for 384 cans of food, so the equation is written as:

`24x+64y=384`