Question 80

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 became 2 : 1. What is the number of tanks after the war.

Solution

let the number of tanks and planes be 5x and 3x
after war tanks=5x-1000 and planes =3x-800
(5x-1000)/(3x-800)=2:1
5x-1000=6x-1600
x=600
Total tanks=3000-1000
=2000


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