Answer:
Weight of chocolate candies = 30lbs
Weight of sour candies = 30lbs
Step-by-step explanation:
We are told in the question that :
Chocolate candies worth $2.50 per pound
Sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound?
Let x represent the number of pounds of chocolate candies
Let 60 - x represent the number of pounds of sour candies
Hence, we have the equation
x × $2.50 + (60 - x) × $0.90 = 60 × $1.70
= 2.5x + 54 - 0.9x = 102
Collect like terms
2.5x - 0.9x = 102 - 54
= 1.6x = 48
x = 48/1.6
x = 30 lbs
x represent the number of pounds of chocolate candies,
60 - x represent the number of pounds of sour candies
= 60 - 30
= 30lbs
Weight of chocolate candies = 30lbs
Weight of sour candies = 30lbs
Therefore, she should combine 30lbs of chocolate candies and 30lbs of sour candies to get 60 lb of mixed candies worth $1.70 per pound.
