SOLUTION: Hi, I am having troubles with this word problem. I'm not entirely sure if I set the equation right. I don't think so because the equation I did. I have no clue on how to solve it.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi, I am having troubles with this word problem. I'm not entirely sure if I set the equation right. I don't think so because the equation I did. I have no clue on how to solve it.       Log On

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Question 775668: Hi, I am having troubles with this word problem. I'm not entirely sure if I set the equation right. I don't think so because the equation I did. I have no clue on how to solve it.
The question goes as " A 10-ton truck and a 12-ton truck deliver sand to a concrete mixing plant. If the smaller truck makes 3 trips more than the larger truck, how many trips does each truck make to deliver 140 tons of sand?"
This is the equation I made: Let A= 10 ton trucks trips Let B= 12 ton trucks trip
10A+12B=140
A-3=B
I did a system of equations. I'm not sure if I set the equation correctly. And I am not sure how to solve it from this point. If anyone could help me I would appreciate it! Thanks!
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Congrats! You have set the equations correctly.

Now it comes down to how we can solve them.
From the second equation you can express B in terms of A as: B=A-3.
Plug this value of B in first equation.
Then it becomes: 10A + 12(A-3) = 140

Now you have an equation with one variable and I am sure that you can solve it yourself. The answer is A = 8, B = 5.

If you need guidance regarding solving of simultaneous equations in two or more unknowns then you can contact me and I can teach you the different techniques of solving these equations and tips and tricks useful for quick solutions.

Cheers!!!