CAT 1993 — QA Question 8
3 Variable EquationsEasy
Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs 10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
Answer & solution
- A
Rs. 10
- B
Rs. 8
Rs. 15
- D
Cannot be determined
Solution
The two equations are : 2o + 3b + 4a = 15 and 3o + 2b + a = 10.
Adding the two equations, we get
5o + 5b + 5a = 25
⇒ o + b + a = 5
∴ 3o + 3b + 3a = 15.
Hence, option (c).