Question

In what ratio would be two sorts of sugar costing #390 and #315 per kg respectively be mixed to produce a mixture worth #69 per kg

Answer 1

AAAaannndd the bot gets it wrong yet again!

You cannot mix two expensive kinds of sugar to form a mixture that is cheaper than either one of them. Any mixture will be worth somewhere between #315 and #390 per kg. The question is nonsense.

Answer 2

Let x be the ratio of the first type of sugar to the second type of sugar. Therefore, 1-x is the ratio of the second type of sugar to the first type of sugar.

The cost of the mixture per kg is given by:

(390x + 315(1-x))/2 = 69

Multiplying both sides by 2 and simplifying, we get:

780x + 315 - 315x = 138

Solving for x, we get:

x = 3/5

Therefore, the ratio of the first type of sugar to the second type of sugar is 3:2.

To make 1 kg of mixture, we would need 0.6 kg of the first type of sugar and 0.4 kg of the second type of sugar.

To make 10 kg of mixture, we would need 6 kg of the first type of sugar and 4 kg of the second type of sugar.

Answer 3

I apologize for the mistake. You are correct that it is not possible to mix two types of sugar with higher individual costs to produce a mixture with a lower cost than the individual costs. Thank you for bringing this to my attention.