The number of 10-star chocolates with Ramesh ans Suresh are in the ratio 15:17.They also have dairy silk chocolates which are in the ratio 25:19.If the total number of chocolates with them are in the ratio 25:21,find the ratio of number 10-star chocolates with Ramesh and the number of dairy silk chocolates with Suresh?
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Answer:
The final ratio is 75:209.
Step-by-step explanation:
The number of 10-star chocolates with Ramesh and Suresh are in the ratio 15:17
Let the number of 10-star chocolates with Ramesh and Suresh be 15x and 17x respectively
Number of dairy silk chocolates are in the ratio 25:19
Let the number of dairy silk chocolates with Ramesh and Suresh be 25y and 19y respectively.
So, according to the given conditions:
(15x + 25y)/ (17x + 19y) = 25/21
On solving this equation, we get:
315x+ 525y = 425x + 475y
So, 50y= 110x
So, y:x = 11:5
Hence, we can write x as 5/11 y
Required to find= 15x/19y
So, The required ratio is =[(5/11y)*15] / 19y
The final ratio is 75:209.
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