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

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.
RELATED QUESTIONS
The capacities of two trucks are 3 tons and 4 tons. If the larger truck makes 3 more... (answered by Boreal,addingup)
"Two dump trucks have capacities of 10 tons and 12 tons. They make a total of 20 round... (answered by jim_thompson5910)
A LEIBHERR t282b the world's largest dump trucks is hauling debris at a mining site .on... (answered by Alan3354)
word problem. a full 5 step solution is not required, but please show work. thank you. (answered by ewatrrr)
Two gravel trucks have the capacity of 13 tons and 15 tons. They made a total of 18 round (answered by josgarithmetic)
Trucking company needs to move 21 tons of gravel. You have 8 qualified drivers in the... (answered by richwmiller)
Two sand hauling trucks one that holds 12 tons and one that holds 15 tons make a total of (answered by checkley71)
A dump truck is hauling debris at a mining site. on its first trip it hauls away 360 tons (answered by ankor@dixie-net.com)
This is from my nephews Home School course. Thank you for your help in advance. "The... (answered by ptaylor)