Question

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

Answer 1

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

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

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

`\rule{200}2`

Share of Thabo :-

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