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The ratio of the quatities imported of steel and iron in 2018 was 3 :2 and in 2020 it was 1 : 1. The ratio of the quantities
imported of steel in 2018 and 2020 was 4 : 3. What was the ratio of the quantities impo1ied of iron in 2018 and 2020?
11 : 12
7 : 5
8 : 9
7 : 9
Here's how to solve the problem:
- In 2018, the ratio of steel to iron is 3:2.
- In 2020, the ratio of steel to iron is 1:1.
- The ratio of steel imported in 2018 to that in 2020 is 4:3.
Let's assume the quantity of steel in 2018 was 4x and in 2020 it was 3x.
Using the steel ratios, the quantity of iron imported in 2018 would be 4x3×23 = 8x9, and in 2020 it's the same as steel in 2020 (1:1 ratio), or 3x.
So the ratio of iron from 2018 to 2020 is 8x9:3x, simplifying to 8:9.
- Option 1: 11:12 - Not matching the simplified ratio.
- Option 2: 7:5 - Not matching the simplified ratio.
- Option 3: 8:9 - Correct ratio.
- Option 4: 7:9 - Not matching the simplified ratio.
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