Question

Jack and Jill went up the hill to fetch a pail of water. Having filled the pail to the full Jack fell down, spilling 2/3 of water, before Jill caught the pail. She then tumbled down the hill, Spilling 1/5 of the remainder. What fraction of the water fills the pail ?
(A) 4/15
(B) 1/3
(C)11/15
(D) 1/15

Answer 1

Answer:

answer is below

Step-by-step explanation:

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}1−32=33−2=31

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}51×31=15131−151=155−1=154

Therefore 4/15th of the initial water remains in the pail.

Answer 2

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