Question 1089682
The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut. If hazelnuts sell for $2 per pound and milk chocolate sells for $4 per pound, how many pounds of each should they mix together to create a 18-pound box that sells for $3 per pound? 


let x = number of pounds of hazelnut.
let y = number of pounds of mixed chocolate.


you know that the total pounds has to be 18, so x + y = 18


you know that the total money to be earned is 3 dollars a pound times 18 pounds = 54 dollars.


you know that hazelnuts cost 2 dollars a pound and mixed chocolates cost 4 dollars a pound.


therefore 2x + 4y = 54


the two equations that you have to solve simultaneously are:


2x + 4y = 54
x + y = 18


work it out and see what you get.


don't forget to confirm if you answer is correct.

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A chemist wants to mix a 60% alcohol solution with 9 liters of a 66% alcohol solution to produce a solution that is 62% alcohol. How many liters of the 60% alcohol solution should be used? 


let x = number of liters of 60% solution.


x + 9 is number of liters of total solution.


your equation is:


.6 * x + .66 * 9 = .62 * (x + 9)


work it out and see what you get.


don't forget to confirm if you answer is correct.


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let me know if you have any problems getting the correct answer and / or if you have any further questions regarding these problems.