SOLUTION: Susan has 92 packages on her truck. Some of the packages weigh 32 lbs each, and the rest weigh 12 lbs each. If the total weight of the packages on the truck is 1604 lbs, how ma

Algebra ->  Real-numbers -> SOLUTION: Susan has 92 packages on her truck. Some of the packages weigh 32 lbs each, and the rest weigh 12 lbs each. If the total weight of the packages on the truck is 1604 lbs, how ma      Log On


   

Question 301378: Susan has 92 packages on her truck.
Some of the packages weigh 32 lbs each,
and the rest weigh 12 lbs each. If the total
weight of the packages on the truck is 1604
lbs, how many of each kind of package is
on the truck?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of 32 lb boxes.
Let B be the number of 12 lb boxes.
1.A%2BB=92
2.32A%2B12B=1604
From eq. 1,
A=92-B
32A=2944-32B
Now substitute into eq. 2,
32A%2B12B=1604
2944-32B%2B12B=1604
-20B=-1340
B=67
Then use either equation to solve for A.
A=92-B
A=92-67
A=25
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There are twenty-five 32 lb boxes and sixty-seven 12 lb boxes in the truck.