A candy shop owner must mix three types of sweeteners \(A, B,\) and \(C\) in a certain ratio to get the desired mixture in his candies. What is the ratio of the weights of Sweetener \(A\) to Sweetener \(B\) to Sweetener \(C\) in the final mixture?

1) Sweeteners \(A, B,\) and \(C\) cost \(\$40, \$50,\) and \(\$60\) per pound. The average (arithmetic mean) cost of the final mixture is \(\$50\) per pound

2) In the final mixture, the average (arithmetic mean) price of Sweeteners \(A\) and \(B\) together is \(\$45,\) and the average (arithmetic mean) price of Sweeteners \(B\) and \(C\) together is \(\$55\)

The OA is C