SOLUTION: How many grams of chocolate worth P600 per kg must be mixed with 10 jg of chocolate worth P450 per kilogram to produce a moxture worth P500 per kilogram?
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Question 1173324: How many grams of chocolate worth P600 per kg must be mixed with 10 jg of chocolate worth P450 per kilogram to produce a moxture worth P500 per kilogram? Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52781) (Show Source):
Here is a quick and easy way to solve 2-part "mixture" problems like this without formal algebra (if, of course, a formal algebraic solution is not required).
The price of the mixture per kilogram, P500, is 1/3 of the way from P450 to P600, the prices per kg of the two ingredients. (look at it as 500 begin 1/3 of the way from 450 to 600 on a number line....)
That means 1/3 of the mixture is the more expensive ingredient.
That means the 10kg of the less expensive chocolate is 2/3 of the mixture; and that mean 1/3 of the mixture is 5kg.
