SOLUTION: One type of candy cost 60cents a pound while a second costs 80cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth 75cents

Question 304983: One type of candy cost 60cents a pound while a second costs 80cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth 75cents a pound?
Sat prep. Question.
Ans. 24 nickels
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $.60 candy needed
Let = pounds of $.80 cent candy needed
given:
(1)
In words:
(cost of each type of candy used)/(pounds of candy used) = (cost of mixture)/(pounds of mixture)

(2)
Multiply both sides of (1) by and subtract from (2)
(2)
(1)

and, since

5 pounds of $.60 candy and 15 pounds of $.80 candy are needed
check:

OK

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