Question

A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture? If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?

Answer 1

Answer:

10 pounds of the $1.50 chocolates  

20 pounds of the $0.90 chocolates

Hope this helps.

Answer 2

Answer:

20 pounds.

Step-by-step explanation:

Let x pounds of $ 1.50 chocolates is mixed with some pounds of 90¢ chocolates,

Since, the quantity of resultant mixture = 30 pounds,

So, the quantity of  90¢ chocolates = 30 - x

Now, 90¢  = $ 0.90    ( 1 cent = $ 0.100 ),

Thus, the total cost of the resultant mixture

= 1.50x + 0.90(30-x)    ( total cost = number of units × price per unit )

According to the question,

Resultant mixture is sold for $1.10 a pound,

So, the cost of resultant mixture = 1.10(30)

$\implies 1.50x + 0.90(30-x) = 1.10(30)$

$\implies 1.50x + 27 -0.9x = 33$

$\implies 0.6x + 27 = 33$

$\implies 0.6x =6$

$\implies x = 10$

Hence, the number of pounds of 90¢ chocolates used = 30 - 10 = 20 pounds.