Question

How many of each type of box is it carrying?

Answer 1

Answer:

Number of large boxes: 55

Number of small boxes:65

Step-by-step explanation:

Let be "l" the number of large boxes and "s" the number of small boxes.

Set up a system of equations:

$\left \{ {{l+s=120} \atop {60l+30s=5250}} \right.$

Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":

$\left \{ {{-60l-60s=-7200} \atop {60l+30s=5250}} \right.\\.........................\\-30s=-1950\\s=65$

Substitute s=65 into any of the original equations and solve for "l":

$l+65=120\\l=55$

Answer 2

Answer:

Number of large boxes = 55

Number of small boxes = 65

Step-by-step explanation:

We know that large boxes weight 60 pounds each while small boxes weight 30 pounds each and they are 120 boxes in total which weigh 5250 pounds in total.

Assuming $l$ to the number of large boxes and $s$ to be the number of small boxes, we can write the following equations:

$l+s=120$ --- (1)

$60l+30s=5250$ --- (2)

From equation (1):

$l=120-s$

Substituting this value of $l$ in (2):

$60(120-s)+30s=5250$

$7200-60s+30s=5250$

$60s-30s=7200-5250$

$30s=1950$

s = 65

Now finding the value of $s$:

$l=120-65$

l = 55

Therefore, number of large boxes = 55 and number of small boxes = 65.