A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let $x$ be the number of 40 -pound boxes and $y$ be the number of 65 -pound boxes. The forklift can carry up to either 45 boxes or a weight of $2,400$ pounds. Which of the following systems of inequalities represents this relationship?

$$A)\left\{\begin{array}{l}{40 x+65 y \leq 2,400} \\ {x+y \leq 45}\end{array}\right.$$

$$B)\left\{\begin{array}{l}{\frac{x}{40}+\frac{y}{65} \leq 2,400} \\ {x+y \leq 45}\end{array}\right.$$

$$C)\left\{\begin{array}{l}{40 x+65 y \leq 45} \\ {x+y \leq 2,400}\end{array}\right.$$

$$D)\left\{\begin{array}{l}{x+y \leq 2,400} \\ {40 x+65 y \leq 2,400}\end{array}\right.$$

## Discussion

## Video Transcript

Okay, So this one says of the people who chose vanilla, what fraction chose not fudge or hot fudge as a talking. So it's if it's a of the people. That means that we're narrowing down our entire total to just the people who chose for naught. We're just looking at this. So our total is out of however many put the hot fudge and caramel, which is going to be a total of thirteen. But I'm just adding eight plus five. So then we're goingto wanted and see how many people chose hot fudge. And if we take out of the total number of hot fudge, that's eight hour thirteen so D is going to be our correct answer.

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