Greetings!
Let's set up a system of equations that represents the information given.
We will use the variable "x" to represent the large boxes and "y" to represent the small boxes.
40x + 35y = 4700
In the above equation, we are representing the weight of the boxes, which is the reason why we equal our variables to 4700 pounds.
We will now create another equation to represent the number of boxes:
x + y = 125
We equal our equation by 125 due to there being 125 boxes in total in the delivery truck.
We can now solve the systems of equations to get our answers.
Solve:
Solve for each variable:
40x + 35y = 4700
x + y = 125
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40x + 35y = 4700
-40(x + y = 125)
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40x + 35y = 4700
-40x - 40y = -5000
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-5y = -300
Divide both sides by -5
y = 60
Now, plug 60 into the "y" variable in either equation to find the value of "x".
x + 60 = 125
Subtract both sides by 60
x = 65
Answer:
This means that the delivery truck is carrying 65 large boxes and 60 small boxes.