Two bottles A and B contain mixture of milk and water in the ratio of 5 ∶ 3 and 1 ∶ 5 respectively. Find the ratio in which these two mixtures be mixed to obtain a new mixture containing milk and water in the ratio 3 ∶ 4.?

5 ∶ 6
3 ∶ 8
4 ∶ 3
2 ∶ 3
2 ∶ 5

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 4 ∶ 3

Let Amount of mixture contained by both bottles A and B be 1 litre

Bottle A contains milk and water mixture in the ratio 5 ∶ 3

⇒ Amount of milk in the bottle A = 5/8 litre

⇒ Amount of water in the bottle A = 3/8 litre

Bottle B contains milk and water mixture in the ratio 1 ∶ 5

⇒ Amount of milk in the bottle B = 1/6 litre

⇒ Amount of water in the bottle B = 5/6 litre

Let ‘x’ and ‘y’ litres from bottle A and B respectively are mixed

⇒ Amount of milk in the new mixture in litre = 5/8x + 1/6y

⇒ Amount of milk in the new mixture in litre = 3/8x + 5/6y

∵ New mixture contains milk and water in the ratio 3 ∶ 4

⇒ (5/8x + 1/6y) / (3/8x + 5/6y) = 3/4

⇒ (15x + 4y) / (9x + 20y) = 3/4

⇒ 60x + 16y = 27x + 60y

⇒ 33x = 44y

⇒ x/y = 4/3

4 views Answered 2022-09-04 04:29

Related Questions

In a mixture, there are 300 litres of milk and 100 litres of water. --- litres of mixture is taken out and --- litres of water is added. Now, the milk in the mixture is two times that of the water. Which of the following options satisfies the two blanks in the question A. 120, 40 B. 80, 40 C. 80, 20 D. 120, 40 E. 100, 40?

1 Answers 7 Views

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.?

1 Answers 7 Views

There are two vessels in which alcohol and water are in the ratio of 77 : 23 and 9 : 1 respectively. After mixing the two mixture in certain ratio a new mixture form having alcohol and water in the ratio of 4 : 1. Find in which ratio the two mixture mixed?

1 Answers 5 Views

In an alloy 83% is copper and remaining percentage is zinc and in another alloy 87% is copper and remaining percentage is zinc. The two alloys is mixed so that the new mixture must have 14% zinc . Find the ratio in which two alloy should be mixed to form the new mixture ?

1 Answers 5 Views

Two vessels contain milk and water in the ratio of 2 ∶ 3 and 9 ∶ 7. Find the ratio in which the contents of the two vessels have to be mixed so that the ratio of milk and water in the new mixture is equal.?

1 Answers 5 Views

A mixture X which has 80% Copper and rest Zinc is mixed with another mixture of Copper and Aluminium (mixture Y) in the ratio 3 : 5. If the resultant mixture has 60% copper only, find the percentage of aluminium in the mixture Y.?

1 Answers 22 Views

In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Two containers each contain some balls of Red and Blue color. Now all the balls of these two containers are mixed into a single third container which also contained some Red and Blue color balls initially as well. If 5 balls are taken out, then find the probability that all the balls taken out are Red in color. Statement 1∶ Total number of balls finally in 3rd container is 135. Statement 2∶ Ratio of balls in 1st container and 2nd container is 2 ∶ 7 Statement 3∶ Ratio of Red and Blue balls in 3rd container before mixing is 2 ∶ 3?

1 Answers 4 Views

In the following question, some parts of the sentence may contain an error. Find out which part of the sentence does not have an error and click the option corresponding to it. If you think all the parts contain an error, mark option 5, i.e. ‘None of these’ as your answer choice. Shooter Apurvi Chandela and Ravi Kumar (A)/ opened Indias medal tally at the (B)/ 2018 Asian Games by winning bronze on the (C)/ final of the 10m Air Rifle mixed team event. (D)?

1 Answers 4 Views

The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. 6 litres of mixture A and 4 litres of mixture B are mixed to form a new mixture C. Find the amount of water in the new mixture. I) The new mixture had alcohol and water in the ratio 7 ∶ 5. II) Mixture A had alcohol and water in the ratio 5 ∶ 4. III) Mixture B had alcohol and water in the ratio 5 ∶ 3.?

1 Answers 6 Views

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)