Evaluating data sufficiency for determining total work output

Translate the core statement into an algebraic equation letting O, M, A be the costs: 4O + 6M + 8A = 2(1O + 2M + 5A) 4O + 6M + 8A = 2O + 4M + 10A

Group like terms onto opposite sides: 4O - 2O + 6M - 4M = 10A - 8A 2O + 2M = 2A \implies O + M = A.

This reduction proves that the cost of 1 orange plus 1 mango equals exactly the cost of 1 apple, making Statement 2 explicitly Correct .

Now evaluate Statement 1 by testing if the two expressions balance under this rule: We want to check if: 3O + 5M + 9A = 4O + 6M + 8A Simplify by subtracting matching terms from both sides: 9A - 8A = (4O - 3O) + (6M - 5M) \implies A = O + M.

Since this matches our derived truth perfectly, Statement 1 is also Correct.

Answer: (c).