the combine cost of 27 toasters and 18 pressure cookers is 6120.How much would be the combined cost of 12 toaster and 8 pressure cookers?

Question

the combine cost of 27 toasters and 18 pressure cookers is 6120.How much would be the combined cost of 12 toaster and 8 pressure cookers?

Answer 1

Since (12,8) is a linear combination of (27,18), we can just scale the cost down by a proportional rate to get the cost.  

 

12/27 = 8/18 = 4/9

 

So the cost of 12 toasters and 8 PCs would be 6120 * 4/9 = $2720.  Note that this only works because they are linear combos.  If they were not, then there would not have been enough information to answer the question.