How much will one pound of light chocolates and one pound of dark chocolates cost if the mixture is worth $5.50 per pound?
To find the cost, we need to determine the individual prices of the light and dark chocolates.
Let's assume the price of light chocolates per pound is 'L' and the price of dark chocolates per pound is 'D'.
Since the mixture is worth $5.50 per pound, we can create the following equation:
(L * 1) + (D * 1) = $5.50
Now, we need to find the values of 'L' and 'D'.
There isn't enough information to calculate the exact prices of the light and dark chocolates. However, we can still determine the relationship between their prices.
If we assume that the light chocolates are cheaper than the dark chocolates, we can set the following relationship:
L < D
Now, we can explore some possible solutions.
Let's consider an example:
Assume the light chocolates cost $4.50 per pound and the dark chocolates cost $6.50 per pound.
In this case, the equation becomes:
($4.50 * 1) + ($6.50 * 1) = $11.00
Since the total cost of $11.00 is higher than the desired $5.50, we need to decrease the price of the dark chocolates.
We can consider another example:
Assume the light chocolates cost $2.50 per pound and the dark chocolates cost $3.50 per pound.
In this case, the equation becomes:
($2.50 * 1) + ($3.50 * 1) = $6.00
Since the total cost of $6.00 is closer to the desired $5.50, we are getting closer to the right solution.
You can continue experimenting with different prices of light and dark chocolates until you find a combination where the total cost is $5.50. This will give you the actual prices for one pound of light and dark chocolates.