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Answer :
Each large box weighs 50 pounds, and each small box weighs 5 pounds.
Let's assume the weight of a large box is L pounds, and the weight of a small box is S pounds. We can set up a system of equations based on the given information.
From the given information, we know that the combined weight of a large and small box is 55 pounds, so we have the equation: L + S = 55. This equation represents the total weight of the boxes.
We also know that the truck is transporting a total of 130 boxes, which is the sum of 70 large boxes and 60 small boxes: 70L + 60S = 3700. This equation represents the total weight of all the boxes on the truck.
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.
From Equation 1, we can express L in terms of S: L = 55 - S.
Substituting this value of L into the second equation, we have: 70(55 - S) + 60S = 3700.
Simplifying the equation, we get: 3850 - 70S + 60S = 3700.
Combining like terms, we have: -10S = -150.
Dividing both sides by -10, we find: S = 15.
Substituting this value of S back into Equation 1, we can solve for L: L + 15 = 55, which gives L = 40.
Therefore, each large box weighs 40 pounds, and each small box weighs 15 pounds.
Learn more about substitution method here:brainly.com/question/22340165
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