Question

In my house, 48 litres of drinking water is stored. Bottles of equal size are to be filled with
this water. If each bottle holds 1.2litre of water, let's find how many such bottles can be
filled.​

Answer 1

Answer:

$\maltese\LARGE\textsf\textcolor{lime}{\underline{Solution:-}}$

40 bottles can be filled.

Step-by-step explanation:

GIVEN :-

48 litres of drinking water is stored.

each bottle holds 1.2litre of water.

TO FIND :-

how many such bottles can be

how many such bottles can befilled.

SOLUTION :-

LET the total no. of bottles be x.

here it is given that,

total amount of water = 48 litres

&

the holding capacity of one bottle = 1.2 litres.

lets convert it into mL.

so the total amount of water =

➝$\sf{(48\:\times\:1000)mL}$

➝$\sf{48,000\:mL}$

and,

the holding capacity of one bottle =

➝$\sf{(1.2\:\times\:1000)mL}$

➝$\sf{1,200\:mL}$

Now,

apply formula,

➝$\sf{no.\:of\:bottles\:=}$

$\sf\Large\dfrac{total\:amount\:of\:water}{holding\:capacity\:of\:one\:bottle}$

➝$\sf{no.\:of\:bottles\:=\:\LARGE\dfrac{48,000}{1,200}}$

➝$\sf{no.\:of\:bottles\:=\:\LARGE\dfrac{48,0\cancel{00}}{1,2\cancel{00}}}$

➝$\sf{no.\:of\:bottles\:=\:\LARGE\dfrac{\cancel{480}}{\cancel{12}}\:40}$

Hence,

the total no. of bottles required here are = 40 bottles.

$\Large\mathcal\red{Hope \: it \: helps \: you\:friend}$

Answer 2

$\: \: \: \: \: \: \: \: \maltese \: \: { \large{\underline{\underline{\pmb{{ \sf \: Let : - }}}}}}$

$❍ \: \: {\underline{\underline{ \rm \: Let \: the \: total \: no. \: of \: bottles = x.}}}$

$\: \: \: \: \: \: \: \: \maltese \: \: { \large{\underline{\underline{\pmb{{ \sf \: Given: - }}}}}}$

$\: \: \: ❍ \: \rm \: total \: amount \: of \: water = 48 \: L$

$\: \: ❍ \: \rm \: the \: holding \: capacity \: of \: one \: bottle = 1.2 \: L$

$\: \: \: \: \: \: \: \: \maltese \: \: { \large{\underline{\underline{\pmb{{ \sf \:Converting : - }}}}}}$$\: \: \: \: \: \: \: \: \red\dashrightarrow \: \rm{(48\:\times\:1000)mL} \\ \\ \\ \red\dashrightarrow \: \: \: {\underline {\underline{\rm{48,000\:mL}}}}$$\: \: \: \: \: \: \large\boxed{\rm \: Capacity \: of \: one \: bottle }$

$\: \: \: \: \purple \dashrightarrow \: \: \rm{(1.2\:\times\:1000)mL} \\ \\ \\ \: \: \: \: \purple \dashrightarrow \: {\underline{\underline{\rm{1,200\:mL}}}}$

$\: \: \: \: \: \: \: \: \: \: \large \dag \: \: {\underline{\underline{ \rm \: Let's \: Calculate : }}}$

$\boxed{ \purple{\rm \: No. \: of \: bottles = \frac{Total \: amount \: of \: water}{Holding \: capacity \: of \: 1 \: bottel} }}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: : \rightarrow \: \dfrac{480 \cancel{00}}{12 \cancel{00} } \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: : \rightarrow \: \cancel\dfrac{480}{12} \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: : \rightarrow \: 40 \: \rm \: bottels$

$\: \: \: \: \: \: \: \: \: \: \: \rm\therefore \: \: {\underline{\underline{40 \: bottels \: are \: required}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬$