A decanter contains 7 parts iced tea to 3 parts water. Another decanter contains 21 parts iced tea to 4 parts water.In what ratio should the contents be mixed to get 3 parts of iced tea to 1 part of water.
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Answer:
Contents Should Be mixed into The Ratio of 9 : 5
Step-by-step explanation:
A decanter contains 7 parts iced tea to 3 parts water
Let say
Ice Tea = 7A
Water = 3A
Total = 10A
Another decanter contains 21 parts iced tea to 4 parts water
Let say
Ice Tea = 21B
Water = 4B
Total = 25B
10A = 25B
=> A = 2.5B
Let say M : N is the ratio Then
Iced tea = 7MA + 21NB
Water = 3MA + 4NB
Total = 10MA + 25NB
Final Mixture has 3 parts of iced tea to 1 part of water
7MA + 21NB = 3 (3MA + 4NB)
=> 9NB = 2MA
=> M/N = 9B/2A
=> M/N = 9B/(2 * 2.5B)
=> M/N = 9/5
=> M: N :: 9:5
Contents Should Be mixed into The Ratio of 9 : 5
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