SOLUTION: A moving company wants to purchase a minimum of 10 trucks with a load capacity of at least 25 tons. Truck A holds 2 tons and costs $15 000 Truck B holds 3 tons and costs $20 0

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Question 1083423: A moving company wants to purchase a minimum of 10 trucks with a load capacity of at least 25 tons.
Truck A holds 2 tons and costs $15 000
Truck B holds 3 tons and costs $20 000
Let A be the number of model A trucks.
Let B be the number of model B trucks.
Let C be the load capacity in tons
Let P be the price of the trucks
Which of the following represents the load capacity of the trucks?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You forgot to post the answer choices.

However, the answer should be something like 2A+3B or C = 2A+3B

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Explanation:

A = number of model A trucks
2*A = total capacity of just the model A trucks
Note: 2A is the same as 2*A so let's just write 2A from now on

B = number of model B trucks
3*B = total capacity of just the model B trucks
Note: similar to the last note above, 3*B = 3B so let's write 3B from now on

We have 2A tons from the model A trucks and 3B tons from the model B trucks.
Add up these expressions to get 2A+3B which is the total capacity of all the trucks (both models included).

If C is the total capacity, then we can say
C = 2A+3B