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Juli2301 [7.4K]
3 years ago
13

A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut

es, how many kilograms of sand will be in the bag?
Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Quantify of sand in a bag =

= \: 5 \frac{2}{5}  \ \:

=  \frac{(5 \times 5 +2) }{5}

=  \frac{27}{5}  \: kg

Quantity of sand that escapes in every 10 minutes :-

= 1 \frac{2}{3} kg

Quantity of sand that will escape in 20 minutes :-

= 1 \frac{2}{3}  \times 2

=  \frac{(3 \times 1 + 2)}{3}  \times 2

=  \frac{5}{3}  \times 2

=  \frac{10}{3}

Quantity of sand that will remain in the sand bag :-

=  \frac{27}{5}  -  \frac{10}{3}

=  \frac{(27 \times 3)}{15}  -  \frac{(10 \times 5)}{15}

=  \frac{81}{15}  -  \frac{50}{15}

=  \frac{31}{15}

= 2 \frac{1}{5}  \: kg

therefore \:  ,  \: 2 \frac{1}{5}  \: kg \: sand \: is \: left \: in \: the \: bag \: .

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