Question

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting

55 large boxes and 50 small boxes. If the truck is carrying a total of 3775 pounds in boxes, how much does each type of box weigh?
Note that the ALEKS graphing calculator can be used to make computations easier.
Large box:
Small box:

Answer 1

The weight of each large box is 55 pounds and the weight of each small box is 15 pounds.

Step-by-step explanation:

In order to find the weight of each type of box, we can set up a system of equations.

Let's say the weight of a large box is 'x' pounds and the weight of a small box is 'y' pounds.

From the given information, we know that the combined weight of a large box and a small box is 70 pounds.

So the equation would be: x + y = 70

We also know that there are 55 large boxes and 50 small boxes in total.

So the total weight of the large boxes is 55x pounds and the total weight of the small boxes is 50y pounds.

The total weight of all the boxes is 3775 pounds. So the equation would be:

55x + 50y = 3775

Now we can solve these equations to find the values of 'x' and 'y'.

Solving the first equation, we can express 'y' in terms of 'x':

y = 70 - x

Substituting this expression in the second equation, we get:

55x + 50(70 - x) = 3775

Simplifying the equation:

55x + 3500 - 50x = 3775

5x + 3500 = 3775

5x = 275

x = 55

Substituting the value of 'x' back in the first equation, we get:

55 + y = 70

y = 15

Therefore, the weight of each large box is 55 pounds and the weight of each small box is 15 pounds.