Jack and Jill went up the hill to fetch a pail of wwter. Having filled the pail to the full,Jack fell down spilling 2/3 of the water, before Jill caught the pail. She the tumbled down the hill, spilling 1/5 of the remaainder. What fration of the water fills the pail
Answers
Answer:
Total amount of water in pail is basically 1/1
If 2/3 was spilt, we basically subtract 2/3 from 1.
\begin{gathered}1 - \frac{2}{3} = \frac{3 - 2}{3} \\ = \frac{1}{3}\end{gathered}
1−
3
2
=
3
3−2
=
3
1
Next, 1/5 of the remainder (which we just calculated, 1/3) was lost. Therefore, we need to first find 1/5 of 1/3 and then subtract that value from 1/3.
\begin{gathered}\frac{1}{5} \times \frac{1}{3} = \frac{1}{15 } \\ \frac{1}{3} - \frac{1}{15} = \frac{5 - 1}{15} = \frac{4}{15}\end{gathered}
5
1
×
3
1
=
15
1
3
1
−
15
1
=
15
5−1
=
15
4
Therefore 4/15th of the initial water remains in the pail.
Answer:
Solution(By Examveda Team)
The pattern followed is : nth term + (n + l)th term + (n + 1) = (n + 2)th term. Thus, 1st term + 2nd term + 2 = 3rd term; 2nd term + 3rd term + 3 = 4th term and so on. So, missing term = 6th term = 4th term + 5th term + 5 = 24 + 41 + 5 = 70.