SOLUTION: Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery consists of 25 bags weighing 99 pounds. How many bags are there of each size? A. 12 small b

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery consists of 25 bags weighing 99 pounds. How many bags are there of each size? A. 12 small b      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 939977: Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery consists of 25 bags weighing 99 pounds. How many bags are there of each size?
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery consists of 25 bags weighing 99 pounds. How many bags are there of each size?
--------
Equations:
Quantity:: t + f = 25 bags
Weight::::3t +5f = 99 lbs
------------------
Modify for elimination::
3t + 3f = 3*25
3t + 5f = 99
-----
Subtract and solve for "f"::
2f = 24
f = 12 (# of 5 lb bags)
Solve for "t"::
t + 12 = 25
t = 13 (# of 3 lb bags)
----------------------------
Cheers,
Stan H.
============
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags