A concrete mix is to have mass proportions of cement: fine aggregates: coarse aggregates of
1.0: 1.9: 2.8, with a water-cement ratio of 26.5 litres of water per 42.6 kg of cement. The unit
mass of each of these mix components is given below.

Question

A concrete mix is to have mass proportions of cement: fine aggregates: coarse aggregates of
1.0: 1.9: 2.8, with a water-cement ratio of 26.5 litres of water per 42.6 kg of cement. The unit
mass of each of these mix components is given below.

anonymous · Answer

|dw:1417878092299:dw|

anonymous · Answer

Determine the mass of each component required to produce 38.0 m3 (38,000 litres) of concrete.

Use the notation:

C = mass of cement (kg),
F = mass of fine aggregates (kg),
G = mass of coarse aggregates (kg), and
W = mass of water (kg).
Solve for C, F, G, and W using Gauss elimination.

anonymous · Answer

@ganeshie8 Could you help for for a bit? I just don't get how to set up the matrix.

anonymous · Answer

@ParthKohli or @thomaster Could you help if you have time?

anonymous · Answer

@Compassionate or @dan815  Do you know how to set this up?

anonymous · Answer

Hint: a ratio between two components provides one linear equation, e.g. C/F = 1.0/1.9, which gives the linear equation: 1.90C – 1.0F = 0 (the coefficients for G and W are zero in this equation).