Problema Solution
ellen wishes to mix candy worth $1.88 per pound with candy worth $3.09 per pound to form 30 pounds of a mixture worth $2.65 per pound. how many pounds of the more expensive candy should she use?
Answer provided by our tutors
LOW COST CANDY MIXED BE = x
high cost = 30-x
price total = 30 * 2.65 = 79.5
this total price is by mixing x candies and 30-x candies of low and high price respectivel as assumed
hence this can be written as 1.88 *x + (30-x) * 3.09 = 1.88x-3.09x + 92.7 = 79.5
hence we get
1.21 x = 13.2
x = 11
more expensive candy should be 30-11 = 19