Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes become 2 : 1. What is the number of tanks after the war?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2000.
Let the number of tanks and planes be 5x and 3x.
After war,
Tanks = 5x - 1000
Planes = 3x - 800
(5x - 1000)/(3x - 800) = 2/1
5x - 1000 = 6x - 1600
x = 600
Total tanks (left) = 3000 - 1000 = 2000