SOLUTION: Two truck drivers are hired to haul a pile of rubble away from a fight the two trucks have load capacities of 4.5 tons and 11 tons between the two trucks there were 28 trips made i

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Question 1081555: Two truck drivers are hired to haul a pile of rubble away from a fight the two trucks have load capacities of 4.5 tons and 11 tons between the two trucks there were 28 trips made in 204 tons hauled away how many trips did each truck make
Found 2 solutions by addingup, Fombitz:
Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
let's call the trucks a and b (you can call them x and y)
a + b = 28 subtract b from both sides:
a = 28 - b
and
4.5a + 11b = 204 substitute here for a:
4.5(28 - b) + 11b = 204
126 - 4.5b + 11b = 204
6.5b = 78
b = 12
So truck b made 12 trips
Truck a = 28-12 = 16 trips

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
Let A be the number of trips for 4.5 ton truck, B the number for 11 ton truck.
1.
and
2.
Multiply eq. 1 by 11 and subtract from eq. 2,

Solve for A, then use either equation to solve for B.