SOLUTION: In a warehouse there are a total of 32 boxes . There are small 240 dm^3 boxes and a large 320 dm^3 boxes. If the total volume occupied by these boxes is 9280 dm^3 . How many small

Algebra ->  Systems-of-equations -> SOLUTION: In a warehouse there are a total of 32 boxes . There are small 240 dm^3 boxes and a large 320 dm^3 boxes. If the total volume occupied by these boxes is 9280 dm^3 . How many small       Log On


   

Question 754426: In a warehouse there are a total of 32 boxes . There are small 240 dm^3 boxes and a large 320 dm^3 boxes. If the total volume occupied by these boxes is 9280 dm^3 . How many small boxes are there?
Can you please help me out? Thanks so much in advance:)
Can you also please show the steps it would really help me understand:)
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Let u = how many small boxes
Let v = how many large boxes

Account for volume: 240u%2B320v=9280, divide by 80 gives highlight%283u%2B4v=116%29

Account for boxes: highlight%28u%2Bv=32%29

The highlighted equations are the system to solve. I would subtract three times the boxes equation from the volume equation (the simplified one) and first solve for v.