Candies

The price for 1 kg of more expensive candies is 125 CZK.
The price for 1 kg of cheaper candy is 100 CZK.
We mix two different mixtures of candy.

A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of the mixture.
B) The second mixture contains 2 kg of more expensive candy and several kg of cheaper candy. The price per 1 kg of this mix is 110 CZK. Calculate how many kilos of cheaper candy contains the second mixture.

Correct answer:

A =  120 Kc/kg
B =  3 kg

Step-by-step explanation:

a=125 b=100  A=(2 a+0.5 b)/(2+0.5)=(2 125+0.5 100)/(2+0.5)=120 Kc/kg
2 a+B b=110 (2+B) 2 125+B 100=110 (2+B)  10B=30  B=1030=3  B=3=3 kg



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