1 kg of cashews costs Rs 100 and 1 kg of walnuts costs Rs 120 if a mixture of cashews and walnuts is sold at Rs 105 per kg then what fraction of the total mixture are walnuts
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Answer:
let the fraction of walnut be x
than , cashews will be = 1-x
100(1-x) + 120x = 105
100-100x+120x = 105
20x = 5
x = 1/4 = 0.25
hope it helps
Answered by
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Step-by-step explanation:
Assume'x' kg of walnuts are in the mixture.
Since the mass of the mixture is 1kg, this implies that the mass of cashews (1-x).
Now, cost of (1-x) kg of walnuts is (1-x) multiplied by120 and cost of x kg of cashews is (1-x) multiplied by 100.
The mixture has a mass of 1kg and costs Rs 105. Let's set up the equation.
120*x+(1-x)*100 = 1*105
20x-100 =105
20x = 5
x= 0.25
So, the mixture contains a quarter kg of walnuts and three quarters kg of cashews.
Hence, the total mixture contains a quarter of walnuts.
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