Question 294561
 
Mixture Problem:  At a candy shop, plain candy covered chocolate costs $2.95 per pound, while candy covered chocolate with almonds costs $4.95 per pound. How many pounds of plain candy covered chocolate should be mixed with 3 pounds of candy covered chocolate with almonds to obtain a mix that sells for $3.95 per pound?

..................Amount.............Value per pound........Total Value
Plain chocolate.......x.....................2.95................2.95x
Candy / almonds....3.....................4.95...............14.85
Mixture.............x + 3...................3.95............3.95(x + 3)
 
x = number of pounds of plain candy covered chocolate
2.95x + 14.85 = 3.95(x + 3)
2.95x +14.85 = 3.95x + 11.85
14.85 -11.85 = 3.95x - 2.95x
3 = x [plain candy covered chocolate]