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Basic Math/Ratio
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Question
In what ratio two varieties of fruit juice costing Rs 8 and Rs 9 per litre respectively mixed , so that the mixture costs Rs 8.30 per litre?
This is a classic problem.
The requirement is 8x+9y=8.3(x+y)....[#1]
Here, x and y represent the volume of the first and second fruit juice, respectively.
We can simplify this further by insisting that this combination gives one unit volume. We express this as x+y=1. Of course, we can rearrange this as y=1-x. Putting this into [#1], we get
8x+9(1-x)=8.3
You solve for x, then solve for y to find the answer.
Of course, we expect 0<x<1 and 0<y<1.
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Josh
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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.
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I have worked as a teaching assistant in college. My hope is that more people will share knowledge without boundary, give help without seeking recognition or monetary rewards.
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Bachelor degree in Engineering Science
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