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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?

Sagot :

JeanaShupp

Answer: [tex]1250\ m^2[/tex]

Step-by-step explanation:

Let x= Total land.

Then for Maize = [tex]\dfrac{x}{3}[/tex]    

For Potatoes = [tex]\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x[/tex]

For beans = [tex]x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha[/tex]

[tex]\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha[/tex]

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes = [tex]\dfrac{2}{15}(9375) =1250\ m^2[/tex]

Hence, [tex]1250\ m^2[/tex] of the land is on potatoes.

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