Select the correct answerBefore 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?Options1000200030004000
Question
Select the correct answerBefore 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?Options1000200030004000
Solution
Let's solve this step by step:
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Before the battle, the ratio of tanks to planes was 5:3. Let's assume the number of tanks was 5x and the number of planes was 3x.
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During the war, 1000 tanks and 800 planes were destroyed. So, the number of tanks became 5x - 1000 and the number of planes became 3x - 800.
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After the war, the ratio of tanks to planes became 2:1. So, we can write the equation as (5x - 1000) / (3x - 800) = 2 / 1.
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Solving this equation, we get x = 1000.
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So, the number of tanks after the war is 5x - 1000 = 5*1000 - 1000 = 4000.
So, the correct answer is 4000.
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