SOLUTION: A grocer mixed 50kilos of first class sugar and third class sugar which he sold at 2.90 a kilo.first class sugar sells at 3.50 a kilo and third class sugar at 2 a kilo. How many ki

Question 886399: A grocer mixed 50kilos of first class sugar and third class sugar which he sold at 2.90 a kilo.first class sugar sells at 3.50 a kilo and third class sugar at 2 a kilo. How many kilos of first and third class sugar did the grocer mix to produce second class sugar?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kilos of 1st class sugar needed
Let = kilos of 3rd class sugar needed
-----------------
Given:
(1)
(2)
------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
------------------------
(2)
(1)
---------------------------

and
(1)
(1)
--------------------
30 kilos of 1st class sugar are needed
20 kilos of 3rd class sugar are needed
check answer:
(2)
(2)
(2)
(2)
(2)
OK

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