The ratios of the quantities of Assam tea and Darjeeling tea in the mixed tea in two similar caskets are 5:18 and 2:3. Which casket contains more Assam tea?
Answers
Given : The ratios of the quantities of Assam tea and Darjeeling tea in the mixed tea in two similar caskets are 5:18 and 2:3.
To Find : Which casket contains more Assam tea
Solution:
Assume that each caskets contains 115x Tea
First casket
Assam tea = ( 5/(5 + 18)) * 115x = 25x
Darjeeling tea = ( 18/(5 + 18)) * 115x = 90x
Second casket
Assam tea = ( 2/(2 + 3)) * 115x = 46x
Darjeeling tea = ( 3/(2 + 3)) * 115x = 69x
46x > 25x
Hence 2nd casket contains more Assam tea
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Answer:
so, → Quantity of Assam tea in first casket = (5/18) of x = (5x/18) kg . and, → Quantity of Assam tea in second casket = (2/3) of x = (2x/3) kg .