Algebra
posted by mike on .
Company produces three models of speakers. models A,B,and C and can deliver them by truck, van and car. Truck holds 2 boxes of model A, 2 of model B and 3 of model C. Van holds 3 boxes of model A, 4 boxes of model B, and 2 boxes of model C The car holds 3 boxes of model A 5 boxes of model B and 1 box of model C
If 25 boxes of model A, 33 boxes of model B and 22 boxes of model C are to be delivered how many vehicles of each type should be used so that all operate at full capacity. Part B of this question Model C has been discontinued. If 25 boxes of model A and 33 boxes of model B are to be delivered how many vehicles of each type should be used so that all operate at full capacity

I see the following matrix equation:
[t,v,c)
x
│2 2 3│
│3 4 2│
│3 5 1│
=
[25 33 22]
or
2t + 3v + 3c = 25
2t + 4v + 5c = 33
3t + 2v + c = 22
solve it as a system of equations. 
I should be good to go from here. Just to old for this but I am determined to understand word problems. In my sixties

'In my sixties' ...
Hang in there, I am beyond that.