Question

Two full tanks: cylindrical holds $500$ L more than conical. After $200$ L removed from each, cylindrical has twice conical’s amount. How much did the cylindrical hold when full?

• A. 700
• B. 1000
• C. 1100
• D. 1200

Hint:

Translate word conditions into equations and solve simultaneously.

Answer 1

The Correct Option is B

Let cylindrical full capacity = $C$ L, conical = $K$ L. Given: \[ C = K + 500 \quad (1) \] After 200 L removed from each: Cylindrical has $C - 200$, conical has $K - 200$. Condition: \[ C - 200 = 2(K - 200) \] \[ C - 200 = 2K - 400 \] \[ C = 2K - 200 \quad (2) \] From (1) and (2): \[ K + 500 = 2K - 200 \] \[ 700 = K \] Then $C = 700 + 500 = 1200$ — wait, this gives 1200? Let’s recheck. Actually solving: From (1): $K = C - 500$. Sub into (2): \[ C = 2(C - 500) - 200 \] \[ C = 2C - 1000 - 200 \] \[ C = 2C - 1200 \] \[ 1200 = C \] Yes, so cylindrical = 1200 L, conical = 700 L. — But options have 1200 as (4). Correct Answer should be (4). \[ \boxed{1200} \]