Mathematics: If Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get

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If Nandi and thabo share R15,00 in the ratio 1:2

Ответ:

UnusualKc8513

25.02.2021

Mathematics

$\boxed{\textsf{ The amount shared by Nandi is \textbf{ Rs 500. }.}}$

$\boxed{\textsf{ The amount shared by Thabo is \textbf{ Rs 1,000. }.}}$

Step-by-step explanation:

Given that Nandini and Thabo share Rs 1500 in the ratio 1:2 . And we need to find how much each gets . So lets take the given ratio be 1x :2x . Now here we can find the share of both as ,

$\qquad\boxed{\boxed{\sf Share =\dfrac{ Ratio \ number }{Sum \ of\ ratio\ nos. }\times Amount }}$

Hence here the sum of ratio numbers would be 1+2 = 3 . Here the ratio number of Nandi is 1 and that of Thaboo is 2 . So ,

Share of Nandi :-

$\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Nandi)}= Rs\ 500 }}}$

$\rule{200}2$

Share of Thabo :-

$\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Thabo)}= Rs\ 1,000 }}}$

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If Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get

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If Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get