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.

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) (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!!!
RELATED QUESTIONS
Hi guys! So we have these quadratic equation word problems that we are solving right now. (answered by KMST)

I am not sure if I picked the right catagory but I am having a hard time with on algebra... (answered by nerdybill,stanbon)

Hi I am trying to make sure I have done the steps correctly with this problem and just... (answered by Theo)

Hi could you please help with this question , i have attempted to try solving it and i... (answered by Alan3354,jim_thompson5910)

Hi there, i'm having trouble with this word problem and i was wondering if one of you... (answered by kev82)

I am having troubles with exponents to do the formulas (answered by josgarithmetic)

hello there. i am having troubles with translating verbal phrases into inequalities.. so... (answered by stanbon)

Rationalize the function and give its domain in interval notation: F(x) = {{{... (answered by josgarithmetic)

I think my problem with these kinds of questions is that I�m having a hard time... (answered by jsmallt9)