Question

50 patients in a hospital need 175 litre of milk in a week. If 15 more patients are admitted and 6 patients were discharged, then how much milk is needed per week?​

Answer 1

Answer:

206.5 litres

Step-by-step explanation:

✿ Topic :-

Unitary Method

Under this topic we are usually given a certain amount used by a certain amount of people, and then we find the value of amount required for 1 person, and then when it is done, then we calculate the amount required for asked number of people by multiplying the amount required by 1 person from number of people.

Solution :-

Provided Information :-

• 50 patients need 175 litres of milk in a week
• 15 more patients are admitted
• 6 patients were discharged

To Find out :-

• Amount of milk required for 59 patients in a week

Calculations :-

First of all we will find out the amount of milk required by 1 patient in a week, we get :-

$\sf \longrightarrow Amount \: of \: milk \: for \: 1 \: person = \dfrac{175}{50} \\ \\ \\ \sf \longrightarrow Amount \: of \: milk \: for \: 1 \: person = \cancel\dfrac{175}{50} \\ \\ \\ \sf \longrightarrow Amount \: of \: milk \: for \: 1 \: person = \frac{35}{10} \: \: \\ \\ \\ \sf \longrightarrow Amount \: of \: milk \: for \: 1 \: person = \frac{7}{2} \: \: \: \: \:$

Now, we will calculate the amount of milk required for 59 ( 50 + 9 ), we get :-

$\sf \longrightarrow Amount \: of \: milk =59 \times \dfrac{7}{2} \\ \\ \\ \sf \longrightarrow Amount \: of \: milk = \frac{413}{2} \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Amount \: of \: milk = 206.5 \: l \:$

Therefore, the amount of milk required for the patients is 206.5 litres.

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Answer 2

206.5 l

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