In a mixture of 28 litres, the ratio of milk and water is 5:2. Set up the equation between the mixture and milk. Draw its graph. By observing the graph find the quantity of milk in the mixture.
[Hint: Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5]
Given that, the ratio of milk and water is 5:2.
∴ Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5
Now, let the quantity of mixture be ‘x’ and milk be ‘y’.
⇒ 7y = 5x is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Now, given mixture(x) = 28
From the graph, (pt. E)- the corresponding quantity of milk(y) = 20