Matrice Question

Question

The local florist made three sets of fertiliser mix (A, B and C) which she sold in 1 litre bags. To make mix A, she used 100 g of potash, 600 g of nitrogen and 600 g of blood and bone. At the end of the week she had sold 345 bags of mix A. For mix B, she used 300 g of potash, 200 g of nitrogen and 600 g of blood and bone; she sold 295 bags of mix B. Mix C, consisted of 400 g of potash, 100 g of nitrogen and 600 g of blood and bone, and 290 bags of mix C were sold. In fact every bag made up was sold. How many kilograms of potash, nitrogen and blood and bone, respectively, did she use?

My answer was:

0.1*p+0.6*n+0.6*b=1.3kg*345 bags

0.3*p+0.2*n+0.6*b=1.1kg*295 bags

0.4*p+0.1*n+0.6*b=1.1kg*290 bags

Using Matrices (reduced row echelon form) or 3 variables equation I have the following answer:

p=510 kg

n=565kg

b=97.5kg

But the was incorrect. Can someone guide me on where did i get wrong? Thanks a lot

Answer 1

I used the same information and got the same answer as you did!

I did notice that in the first equation, the weight was 1.3 kg and in the others, it was 1.1.

Could that be an issue?