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19 December, 05:14

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 30 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4900 pounds in boxes, how many of each type of box is it carrying? A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 30 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4900 pounds in boxes, how many of each type of box is it carrying?

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  1. 19 December, 05:30
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    55 small boxes, 65 large boxes.

    Step-by-step explanation:

    First, we let x = the amount of big boxes and let y = the amount small boxes. Then, we know that any combination of such will equal 120 so we say

    x + y = 120

    We also know that we have to fill 4900 pounds, so we can say

    50x + 30y = 4900

    Then, we can use either substitution or elimination. I'll do substitution. we make the first equation

    x = 120 - y

    And now we can plug this into our second equation

    50 (120 - y) + 30y = 4900

    Then we distrubute

    6000 - 50y + 30y = 4900

    Then simplify

    6000 - 20y = 4900

    Subtract 6000 from both sides

    -20y = - 1100

    then divide both sides by - 20

    y = 55

    so there are 55 small boxes, which means we can subtract 55 from 120 to get 65 large boxes.
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