SOLUTION: Aling Mely who owns a coffee store in Divisoria Market wishes to mix first class Batamgas Coffee must that sells at ₱200 per kilograms with 25 kg of imported coffee from Sri Lank

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Question 1175572: Aling Mely who owns a coffee store in Divisoria Market wishes to mix first class Batamgas Coffee must that sells at ₱200 per kilograms with 25 kg of imported coffee from Sri Lanka that sell at ₱150 per kilogram. How many kilograms of Batangas coffee must mixed with sri lanka coffee to obtain a mixture worth of ₱175 per kilogram? How much of the mixture will be produced? (With Checking)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Look to see that the mixture price is exactly halfway between the two given coffees. Twenty-five kilograms of each. Do you need to see some algebra for this?

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Batamgas, 200 pesos per kg
Sri Lanka, 150 pesos per kg, using 25 kg
The Mixture, 175 pesos per kg

w, the mass of the Batamgas to use

MONEY%2FMASSAccounting

%28200w%2B150%2A25%29%2F%28w%2B25%29=175
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Exact steps may vary.
200w%2B150%2A25=175%28w%2B25%29
200w%2B150%2A25=175w%2B175%2A25
200w-175w=175%2A25-150%2A25
25w=%28175-150%29%2A25
w=175-150
highlight%28w=25%29