5 coffee and 4 tea costs Rs.96. 5 badam milk and 6 coffee costs Rs. 32 and 7…
2025
5 coffee and 4 tea costs Rs.96. 5 badam milk and 6 coffee costs Rs. 32 and 7 tea and 6 badam milk costs Rs.37. What is the combined price of 1 tea, 1 coffee and 1 badam milk?
- A.
12
- B.
15
- C.
20
- D.
16
Attempted by 275 students.
Show answer & explanation
Correct answer: B
Solution:
Let coffee = x, tea = y, and badam milk = z. From the problem we get the three equations:
5x + 4y = 96
6x + 5z = 32
7y + 6z = 37
Add all three equations:
5x + 4y + 6x + 5z + 7y + 6z = 96 + 32 + 37
Combine like terms to get 11x + 11y + 11z = 165, which is 11(x + y + z) = 165.
Therefore x + y + z = 165 / 11 = 15.
The combined price of one tea, one coffee, and one badam milk is Rs. 15.