SOLUTION: How many kilograms of coffee worth 94p/kg must be mixed with coffee worth £1.10/kg to give 12kg of coffee worth 95p/kg?

Question 1189197: How many kilograms of coffee worth 94p/kg must be mixed with coffee worth £1.10/kg to give 12kg of coffee worth 95p/kg?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
94p/kg ?
£1.10/kg ?
95p/kg?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Apparently the other tutor doesn't read money amounts in pence and pounds....

Formally, a traditional formal algebraic setup would be something like this:
(x)kg at 0.94/kg, plus (12-x)kg at 1.10/kg, equals 12kg at 0.95/kg:

I leave it to you to solve that....

Informally, here is a quick and easy way to solve any 2-part "mixture" problem like this:
On a number line, look at the three prices per kg -- 0.94, 0.95, and 1.10 -- and observe/calculate that 0.95 is 1/16 of the way from 0.94 to 1.10.
That means 1/16 of the mixture is the higher priced coffee.

ANSWER: 1/16 of 12kg, or 0.75kg, of the coffee worth 1.10 per kg; the other 11.25kg of the coffee worth 0.94 per kg.

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