Question

8. A man filled a bucket using a mug. If the capacity
of the mug is 0.4 litres, then 30 mugs of water will
fill the bucket. How many mugs will be needed to
fill the same bucket, if the capacity of each mug is
0.8 litres?

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Answer 1

When

$\tt{capacity \: of \: mug \: = 0.4 \: litres}$

then,

$\tt{water \: needed} \\ \tt{ \: to \: fill \: the \: bucket = 30 \: mugs }$

so,

$\tt{capacity \: of} \\ \tt{ \: bucket = 0.4 \times 30 \: litres}$

Now,

the capacity of new mug is

changed to 0.8 litres

so,

no. of mugs to fill the bucket (now) = capacity of bucket / capacity of new mug

$\tt{number \: of \: mugs \: needed = \frac{0.4 \times 30}{0.8} } \\ \\ \tt{number \: of \: mugs \: needed = 15}$

$\orange{\underline{hence \: no. \: of \: mugs \: needed \: is \: 15 \: }}$

to fill the same bucket.