Question

1.3

Two bottles of honey are compared, one costs R89,99 for 530 g and the other
R59,99 for 375 g. Which bottle is cheaper? Show all your calculations. (5)
13

Answer 1

The bottle that costs R59,99 for 375 g is cheaper

Explanation:

The given costs of the bottles of honey are given as follows;

The cost of one of the bottles of honey = R89,99 for 530 g

The cost of the other bottle of honey = R59,99 for 357 g

Let 'x' represents the bottle of honey that costs R89,99 and let 'y' represent the bottle of honey that costs R59,99, we have;

The unit cost (cost per gram) for the bottle of honey, 'x', C/gₓ = R89,99/(530 g) ≈ R 0.16979/g

The unit cost (cost per gram) for the bottle of honey, 'y',
`C/g_y` = R59,99/(357 g) ≈ R 0.168/g

Given that the unit cost of a bottle 'y' ≈ R 0.168/g is less than the unit cost of a bottle of 'x' ≈ R 016979/g, a bottle 'y' is cheaper than the bottle 'x'

Therefore;

The bottle that costs R59,99 for 375 g is cheaper than the bottle that costs R89,99 for 530 g.