A mixture of 70 liters of milk and water contains 10% water . How many liters…
2024
A mixture of 70 liters of milk and water contains 10% water . How many liters of water should be added to the mixture so that the mixture contains 12 (1/2) % water ?
- A.
2
- B.
8
- C.
4
- D.
5
Attempted by 6 students.
Show answer & explanation
Correct answer: A
Answer: 2 liters
Step 1: Compute the initial amount of water.
Initial water = 70 × 10% = 7 liters.
Step 2: Let x be the liters of water to add and set up the equation for the new percentage.
Key equation: (7 + x)/(70 + x) = 12.5% = 1/8
Multiply both sides: 8(7 + x) = 70 + x.
Expand and simplify: 56 + 8x = 70 + x → 7x = 14.
Solve: x = 2.
Therefore, add 2 liters of water to make the mixture 12 1/2% water.