Varun takes a certain number of Rotis during lunch but always wasted half a roti. Rosa takes half the number of Rotis as Varun, and always finishes her share .after 20 days, if the number of Rotis that were consumed during lunch by them together is 110 (excluding the Rotis wasted)then find the number of Rotis per meal that Varun and Rosa take.how many Roadies were wasted in 20 days?
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Let's assume the number of rotis Varun takes for lunch is 'x'.
According to the given information, Varun always wastes half a roti. So, the number of rotis wasted by Varun per lunch = 0.5.
Therefore, the number of rotis consumed by Varun in a lunch = x - 0.5.
Rosa takes half the number of rotis as Varun. So, the number of rotis Rosa takes per lunch = 0.5x.
In 20 days, the total number of rotis consumed by both of them together is 110 (excluding the wasted rotis). So,
(number of rotis consumed per lunch by Varun + number of rotis consumed per lunch by Rosa) x 20 = 110.
(x - 0.5 + 0.5x) x 20 = 110.
Now, let's solve this equation to find the value of 'x' and the number of rotis wasted in 20 days.
20x - 10 + 10x = 110.
30x = 120.
x = 120 / 30.
x = 4.
So, Varun takes 4 rotis per lunch and Rosa takes half the number, which is 2 rotis per lunch.
For Varun, the number of rotis wasted per lunch = 0.5.
For Rosa, the number of rotis wasted per lunch = 0 (as she finishes her share).
Therefore, in 20 days, the number of rotis wasted by Varun = 0.5 x 20 = 10 rotis.
To find the number of Rotis per meal that Varun and Rosa take, we need to set up equations based on the given information.
Let's assume Varun takes x Rotis per meal.
Since Varun always wastes half a Roti, the number of Rotis consumed by Varun in each meal is x - 0.5.
Rosa takes half the number of Rotis as Varun, so Rosa takes (x / 2) Rotis in each meal.
Now, we know that after 20 days, the number of Rotis consumed during lunch by Varun and Rosa together is 110, excluding the Rotis wasted.
So, the total number of Rotis consumed by Varun and Rosa in 20 days would be (20 * (x - 0.5)) + (20 * (x / 2)).
We can now set up the equation:
(20 * (x - 0.5)) + (20 * (x / 2)) = 110
Simplifying the equation, we get:
20x - 10 + 10x = 110
30x = 120
x = 4
Hence, Varun takes 4 Rotis per meal.
Now, to find the number of Rotis Rosa takes, we can substitute the value of x into our equation for Rosa's Rotis:
Rosa takes (4 / 2) = 2 Rotis per meal.
Therefore, Varun takes 4 Rotis per meal, and Rosa takes 2 Rotis per meal.
To find the number of Rotis wasted in 20 days, we can calculate Varun's wasted Rotis:
In each meal, Varun wastes 0.5 Roti. So in 20 days, he wastes 20 * 0.5 = 10 Rotis.
Hence, in 20 days, 10 Rotis were wasted.