Granola Cost Problem: Solve the Equation
What is the cost per bag of maple granola and apple granola?
The owner of the restaurant ordered six bags of maple granola and five bags of apple granola, with the total cost of the order being $56. Can you determine the cost per bag of each type of granola?
Answer:
The problem was solved by setting two equations corresponding to the costs of each type of granola. It was established that the cost per bag of apple granola was $4, and the maple granola, being $2 more, was $6 per bag.
To solve this problem, we need to set up two equations based on the given information. Let's say the cost of the apple granola per bag is X dollars. Therefore, the cost of the maple granola, which is two dollars more, will be X+2 dollars per bag.
According to the question, the restaurant owner ordered six bags of maple granola and five bags of apple granola. Thus, the first equation would be: 6(X+2) + 5X = $56.
By solving this equation, we get X= $4, which is the cost for apple granola. And the cost for maple granola would be $4+2= $6. Hence, the correct answer is A. Maple granola costs $6 per bag, and apple granola costs $4 per bag.