Final answer:
By setting up an equation representing the total sales from both types of candy and solving for the variable representing pounds of Sugar Twists, we determined that 108 pounds of Pink Hearts were sold. The given options did not list the correct answer.
Step-by-step explanation:
The question asks us to determine how many pounds of Pink Hearts candy were sold given that the store sells four times as many pounds of Pink Hearts as Sugar Twists and that the total sales amount to $789.75, with Pink Hearts costing $6.00 per pound and Sugar Twists costing $5.25 per pound.
Let's denote the number of pounds of Sugar Twists sold as x and the number of pounds of Pink Hearts sold as 4x (since it is four times as much). The total revenue from Sugar Twists is then $5.25x and from Pink Hearts is $6.00(4x). The equation representing the total sales is:
5.25x + 6.00(4x) = 789.75
Solving this equation:
- Multiply 6.00 by 4x to get 24.00x.
- Add the expressions for the revenue from Sugar Twists and Pink Hearts to get 5.25x + 24.00x = 29.25x.
- Divide both sides of the equation by 29.25 to get x = 789.75 / 29.25.
- Calculating this gives x = 27.
- Since x represents the pounds of Sugar Twists, and we want the pounds of Pink Hearts, we multiply 27 by 4 to get 108.
We find that 108 pounds of Pink Hearts were sold which means the correct answer is None of the options provided (A) 30 (B) 40 (C) 50 (D) 60.