Final answer:
To find the correct equation representing the cost of a 20-pound chocolate mixture using chocolates costing $5 per pound and $3 per pound, we can use the equation 5x + 3y, where x and y represent the pounds of $5 and $3 chocolates respectively.
Step-by-step explanation:
The question is asking to find an equation that represents the cost of a 20-pound mixture of chocolates costing $5 per pound and $3 per pound using 'x' pounds of the $5 chocolates and 'y' pounds of the $3 chocolates. To solve this problem, we need to consider both the total weight and the total cost of the mixture. The total weight of the mixture is 20 pounds, which means that x + y = 20 (this represents the sum of the pounds of both types of chocolates used). Next, we calculate the total cost of the mixture which would be 5x (the cost of $5 chocolates times the number of pounds used) plus 3y (the cost of $3 chocolates times the number of pounds used). To find the cost equation, we multiply the number of pounds of each type of chocolate by its respective cost per pound and add them together: 5x + 3y. Therefore, the correct equation that represents the cost of the 20-pound chocolate mixture is 5x + 3y.