A mixture of orange and grapes juice is taken in the ratio of 1:2, an another mixture of the
same juices is taken in the ratio of 2:3. How many parts of the two juices must be taken to
obtain a new juice consisting of orange juice and grapes juice that are in the ratio 3:5?
Answers
Answer:
3:5
Step-by-step explanation:
sorry
Given : A mixture of orange and grapes juice is taken in the ratio of 1:2,
an another mixture of the same juices is taken in the ratio of 2:3.
To Find : How many parts of the two juices must be taken to obtain a new juice consisting of orange juice and grapes juice that are in the ratio 3:5?
Solution:
Let say 3X parts and 5Y parts are taken
orange juice = X , Grape juice = 2X
orange juice = 2Y , Grape juice = 3Y
Total Orange = X + 2Y , Total Grape = 2X + 3Y
X + 2Y : 2X + 3Y = 3 : 5
=> 5X + 10Y = 6X + 9Y
=> X = Y
3X : 5Y
= 3 : 5 as X = Y
Hence 3 parts of 1 :2 ration and 5 parts of 2 : 3 ratio to be taken
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