SOLUTION: i need help understanding solving word problems and how to read it and write it out in expression formula one snack mix contains nuts, candy and cereal and 10% of the weight of

Question 544061: i need help understanding solving word problems and how to read it and write it out in expression formula
one snack mix contains nuts, candy and cereal and 10% of the weight of the mix is cereal. in nother similar mix, 40% of the weight mix is cereal. if you were to make 40 pounds of mix with 25% cereal by combinding some of each of these, how many pounds of the 10% cereal mix would you need?
i need help
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of the 10% cereal mix needed
Let = pounds of the 40% cereal mix needed
given:
= pounds of cereal in 10% cereal mix
= pounds of cereal in 40% cereal mix
--------------------------------------
In words:
( total pounds of cereal in final mix ) / ( total pounds in final mix ) = 25%
(1)
(2)
-------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
20 pounds of the 10% cereal mix is needed
check answer:
(2)
(2)
(2)
(2)
(2)
OK
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