Question

A family of 12 buys 30 kg of sugar which lasts for 20 days
. If they buy
40 kg and it lasts for only 8 days, find the increase in the number of family
members​

Answer 1

Answer:

Question:

A family of 12 buys 30 kg of sugar which lasts for 20 days. If they buy 40 kg and it lasts for only 8 days, find the increase in the number of family members.

Solution :

In First Case:

A family of 12 Menbers buys 30 kg of sugar which lasts for 20 days. (given)

ATQ: Men : 12

Time : 20days

Work done according to question : 30

In Second Case:

A family of ? members buys 40 kg of sugar which lasts for 8 days

ATQ: Men : x

Time : 8 days

Work done according to question : 40

According to Maths Formula

\begin{gathered}= \frac{men \times time}{work \: done} \\ \frac{12 \times 20}{30} = \frac{x \times 8}{40} \\ \frac{12 \times 20 \times 40}{30 \times 8} = x \\ 40 = x \\ x = 40 \\\end{gathered}

=

workdone

men×time

30

12×20

=

40

x×8

30×8

12×20×40

=x

40=x

x=40

In First Case, family members = 12

Second Case, family members = 40

Therefore, Increase in the number of family members in Second Case is 28(40-12).

Step-by-step explanation:

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