Question

one third of a land is on maize, a fifth of the remainder is on potatoes and the rest which is 0.5 ha is on beans. how much of the land is on potatoes?

Answer 1

Answer:
`1250\ m^2`

Explanation:

Let x= Total land.

Then for Maize =
`(x)/(3)`

For Potatoes =
`\frac15(x-\frac {x}{3})=\frac15((2x)/(3))=(2)/(15)x`

For beans =
`x- ((x)/(3)+(2)/(15)x)=0.5 \ ha`

`\Rightarrow\ x- ((5x+2x)/(15))=0.5 \ ha\\\\\Rightarrow\ x- ((7x)/(15))=0.5 \ ha\\\\\Rightarrow\ (15x-7x)/(15)=0.5 \ ha\\\\\Rightarrow\ (8x)/(15)=0.5 \ ha\\\\\Rightarrow\ x=0.5*(15)/(8) \ ha\\\\\Rightarrow\ x=0.9375 \ ha`

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes =
`(2)/(15)(9375) =1250\ m^2`

Hence,
`1250\ m^2` of the land is on potatoes.