Question

A family of is 8memberconsumes 12kg of sugar in 9months.what will be the monthly consumpation of sugar if the members of family members becomes 10 ?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• 8 members consume 12kg sugar in 9 months.

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Monthly consumption of sugar when member becomes 10

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let the monthly sugar consumption by the family of 10 members be 'x'

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

12kg of sugar is consumed in 9 months.

So,

$\underline{\bold{\texttt{Monthly sugar consumption is :}}}$

$\purple\longrightarrow$ $\rm\large{ \frac { 12 } { 9 }}$

i.e $\purple\longrightarrow$ $\rm \large{ \frac { 4 } { 3 }}$

$\:\:$

Sugar consumed by each person in the family per month is :

$\:\:$

$\red\longrightarrow$ $\rm \large{ \frac { 4 } { 3 } } \times \frac { 1 } { 8 }$

$\:\:$

Now, if the family consists of ten members then the monthly sugar consumption is :

$\:\:$

$\green\longrightarrow$ $\rm \large{ \frac { 1 } { 6 }} \times 10$

i.e $\sf \longmapsto \large{ \frac { 5 } { 3 } }$

$\:\:$

$\tt \large{\boxed {x = \frac{ 5 } { 3 }}}$

Hence the monthly consumption of sugar in family of 10 member is $\sf \large{ \frac { 5 } { 3 } }$