The candy shack has 20 pounds of mixed white and dark chocolates worth $7.50 per pound. white chocolates alone sell for $8.00 per pound and dark chocolates sell for $6.00 per pund?

What is your question?

Let there be x lbs of dark chocolate, then there has to be 20-x lbs of white chocolate

6x + 8(20-x) = 7.5(20)

15

To find the number of pounds of white chocolates and dark chocolates in the candy shack, as well as the total value, we can use a system of equations.

Let's assume the number of pounds of white chocolates is represented by 'w' and the number of pounds of dark chocolates is represented by 'd'.

We are given the total weight of the mixed chocolates, which is 20 pounds:
w + d = 20

We are also given the total value of the mixed chocolates, which is $7.50 per pound:
7.50 * 20 = 8w + 6d

Now, we have a system of two equations:
w + d = 20
8w + 6d = 7.50 * 20

To solve this system, we can use any method, such as substitution or elimination. Let's use the substitution method:

From the first equation, we can express 'w' in terms of 'd':
w = 20 - d

Now we substitute this value for 'w' in the second equation to solve for 'd':
8(20 - d) + 6d = 7.50 * 20
160 - 8d + 6d = 150
-2d = 150 - 160
-2d = -10
d = -10 / -2
d = 5

Now that we know 'd' is 5, we can substitute this value back into the first equation to find 'w':
w + 5 = 20
w = 20 - 5
w = 15

So, there are 15 pounds of white chocolates and 5 pounds of dark chocolates in the candy shack.

To find the total value, we substitute the values of 'w' and 'd' into the value equation:
Total value = 8w + 6d
Total value = 8(15) + 6(5)
Total value = 120 + 30
Total value = $150

Therefore, the candy shack has 15 pounds of white chocolates, 5 pounds of dark chocolates, and the total value of the mixed chocolates is $150.