Question

there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons more than the truck before it the trucks weigh a total of 32 tons how many pounds does each truck weigh

Answer 1

Call the weght of the first truck "
`w_(1)`". We then know that the truck after that is 2 tons more, and the next and the next. i.e:

`w_(2) = w_(1) + 2`

`w_(3) = (w_(2) + 2) = (w_(1)+4)`

`w_(4) = (w_(3) + 2) = (w_(1)+6)`

We also know that total is 32 tons.

`w_(total) = 32 = (w_(1)) + (w_(2)) + (w_(3)) + (w_(4))`

`32 = (w_(1))+(w_(1)+2)+(w_(1)+4)+(w_(1)+6)`

`32= 4(w_(1))+12`

`20=4(w_(1))`

`w_(1) = 5 tons`

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds.