Question

Lina and Leslie shared a sum of money with the ratio of 3:4, respectively. If Lesliegot ₱200, what was the total amount of money?

A. ₱350
B. ₱300
C. ₱250
D. ₱200

Answer 1

Answer:

Answer is A) 350

Step-by-step explanation:

ratio = 3:4

let the number be x

leslie got 200

4x = 200

x = 200/4

x = 50

lina got=

3 x 50 = 150

total= 200+150

= 350

Answer 2

$\huge \fbox{Answer}$

$\large \underline{\underline {\frak{ \color{red}Given::}}}$

${\mapsto \sf{Ratio \: of \: shared\:money\:shared\:between\:Lina\:and\:Leslie=3:4}}$

${ \mapsto \sf{Leslie\:got\:money\:from\:shared\:money=₹200}}$

$\large \underline{\underline {\frak{ \color{blue}To \: find::}}}$

$\leadsto \sf{Sum\:of \:money\:between\:Lina\:and\:Leslie. }$

$\large \underline{\underline {\frak{ \color{indigo}Concept \: required::}}}$

$\sf{Here,we \: used \: linear \: equation \: from \: algebra. }$

$\bf{For \: example, }$

${ \rightarrow{ \sf{Leslie\:got\:money\:from\:shared\:money=4x=₹200}}}$

↬$\sf{So,we \: first \: find \: the \: value \: of \: x. }$

$\large \underline { \underline{\frak {\pink{According \: to \: Question:: }}}}$

${ \implies{ \sf{Leslie\:got\:money\:from\:shared\:money=4x=₹200}}}$

${ \implies{ \sf{x= \frac{200}{4} = 50}}}$

${ \implies{ \sf{Lina\:got\:money\:from\:shared\:money=3x}}}$

↬$\sf{Here, \: value \: of \: x \: is \: 50.}$

${\implies{ \sf{3x = 3 \times 50 = ₹150}}}$

$\bf{Hence, }$

$❉{ \fbox{ \sf{Sum \:of \:money\:shared\:between\:Leena\:and\:Leslie=₹200+₹150=₹350}}}❉$

$\large \underline{\underline {\frak{ \color{cya}Verification::}}}$

${ \implies{ \sf{Leslie\:got\:money\:from\:shared\:money=4x=₹200}}}$

${ \implies{ \sf{4 \times 50=₹200}}}$

${ \implies{ \sf{₹200=₹200}}}$

${ \implies{ \sf{L.H.S.=R.H.S.}}}$

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