Sudha planted tomatoes in $\frac{1}{2}$ of her kitchen garden. She planned spinach in one-fourth of the remaining portion. What fraction of the garden has spinach?

\frac{1}{2}

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\frac{1}{3}

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\frac{1}{8}

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\frac{1}{5}

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Solution

The correct option is C $\frac{1}{8}$
Let the whole garden be denoted by $x$ .
Fraction of garden having tomatoes = $\frac{x}{2}$
$∴$ Remaining fraction of garden = $x - \frac{x}{2}$ = $\frac{x}{2}$
Fraction of garden having spinach = $\frac{1}{4} (\frac{x}{2})$ = $\frac{x}{8}$ = $\frac{1}{8} (x)$

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Sudha planted tomatoes in 12 of her kitchen garden. She planned spinach in one-fourth of the remaining portion. What fraction of the garden has spinach?

The correct option is C 18Let the whole garden be denoted by x.Fraction of garden having tomatoes = x2∴ Remaining fraction of garden = x−x2 = x2Fraction of garden having spinach = 14(x2) = x8 =18(x)

Sudha planted tomatoes in $\frac{1}{2}$ of her kitchen garden. She planned spinach in one-fourth of the remaining portion. What fraction of the garden has spinach?