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In the first hall, there are 396 children who have 5 marbles and 225 children who have 7 marbles each. 198 children with 5 marbles each and 225 children with 7 marbles each are taken to the second hall. What will be the ratio of number of marbles in the second hall to that in the first hall?1). 17 : 122). 23 : 113). 47 : 194). 57 : 22 |
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Answer» There are 396 CHILDREN with 5 marbles. If 198 children with 5 marbles move to second hall, there will be 198 children left in first hall with 5 marbles. ⇒ Number of marbles in second hall = (225 × 7 + 198 × 5) ⇒ Number of marbles in first hall = (198 × 5) ∴ Ratio of number of marbles in second hall to that in first hall = (225 × 7 + 198 × 5)/(198 × 5) ⇒ [(225 × 7)/(198 × 5)] + 1 = (35/22) + 1 = 57 : 22 |
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