Question

A canteen requires 28 dozen bananas for a week How many dozen bananas will it require for 47 days

Answer 1

188 dozen bananas are required for 47 days

Solution:

Given that canteen requires 28 dozen bananas for a week

To find: dozen bananas required for 47 days

From given information,

1 week = 28 dozen bananas

We know that, 1 week = 7 days

Therefore,

7 days = 28 dozen bananas

So we can find for 1 day,

$\text{1 day } = \frac{\text{28 dozen bananas}}{7}$

1 day = 4 dozen bananas

Therefore 4 dozen bananas are required for 1 day

To find dozen bananas required for 47 days, we can multiply by 47

$\rightarrow \text{ 47 days } = 47 \times \text{ 4 dozen bananas }$

$\rightarrow \text{ 47 days } = 188 \text{ dozen bananas }$

Thus 188 dozen bananas are required for 47 days

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Answer 2

Answer:

$\red { Number \:of \: banana's \: required }\green {= 188\:dozen }$

Step-by-step explanation:

We know if the number of days increases then the number of banana's required increases.

Therefore, Number of days directly varies with the number of dozens.

$So,\: \frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}$

$Here, \:x_{1} = 1:week = 7\:days ; \:y_{1} = 28\:dozen$

$x_{2} = 47\:days ; \:y_{2} = \red{?\:dozen}$

$\implies \frac{7}{28} = \frac{47}{y_{2}}$

$\implies y_{2} = \frac{47\times 28}{7}\\= 47\times 4\\= 188\:dozen$

Therefore.,

$\red { Number \:of \: banana's \: required }\green {= 188\:dozen }$

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