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Three companies A, B, and C manufactured two types of bottles, namely steel and copper. The total number of bottles manufactured by the companies is 1000. The ratio between the number of copper bottles manufactured by A and the number of steel bottles manufactured by B is 13:17. The total number of copper bottles manufactured by C is 164. The number of copper bottles manufactured by B is 25 more than the number of copper bottles manufactured by A. The 14.28% of the number of copper bottles manufactured by B is equal to one-ninth of the total number of steel bottles manufactured by C. The number of steel bottles manufactured by A is 122, which is 21 less than the number of copper bottles manufactured by the same company. The number of copper bottles manufactured by shop D is 25% more than the number of steel bottles manufactured by shop C. Find the ratio of copper bottles manufactured by shop A and D.
- 143:270
- 150:271
- 153:197
- 111:209
Correct answer: 143:270
Solution
From the statement, steel bottles of A = 122 and this is 21 less than copper bottles of A, so copper bottles of A = 143. Using the given relation, steel bottles of C can be found, and then D's copper bottles are 25% more than C's steel bottles, giving 270. Hence the required ratio is 143:270.
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