Question: Jug contains water and orange juice in the ratio 5:7. Another jug contains water and orange juice in ratio 7 : 2 . In what proportion should these 2 liquids be mixed to give a water and orange juice in ratio 3 : 4
- 4 : 5
- 85 : 3
- 88 : 3
- 2 : 3
- 87 : 7
“Jug Contains Water And Orange Juice In The Ratio 5:7 GMAT Problem Solving”- is a topic of the GMAT Quantitative reasoning section. This question has been taken from the book "GMAT Official Guide Quantitative Review". To solve GMAT Problem Solving questions a student must have good knowledge of qualitative skills. The GMAT Quant section consists of 31 questions in total. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.
Solution and Explanation:
Approach Solution 1:
Explanation:
Candidates in order to solve this question are required to consider either of the mentioned aspects. To solve this question, let us consider water.
The first case scenario that can be considered is; Jug1 - Water concentration is 5/12
The second condition that can be considered is; Jug2 - Water concentration is 7/9
Further, we are to consider the mixture as well. Thus, the water concentration can be highlighted as; 3/7.
Thus, in order to solve the above-formed equations, we need to follow the \(w_1 \div w_2 \)
This gives us:
\(\frac{\frac{7}{9}-\frac{3}{7}}{ \frac{3}{7}-\frac{5}{12}}\)
This further implies the answer 88/3.
Thus, the answer is 88:3.
Approach Solution 2:
Explanation:
The second approach that can be adapted to solve this equation is:
Let us consider x ml of Jug 1 to be mixed with y ml of jug 2.
This further implies that; 5x/12 + 7y/9 = 3/7*(x+y)
Thus, it can be further concluded that; 7x/12 + 2y/9 = 4/7 *(x+y).
Further breaking down the equation, we get:
=> (15x + 28y)/36 = 3/7 * (x+y)
=> 105x + 196y = 108x + 108y
=> 88y - 3x = 0
=> x/y = 88/3
Therefore, the answer is 88:3
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