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(10) John spent
(3)/(10) of his money on a storybook and
(3)/(7) of the remaining amount on a magazine.
(a) Is the storybook or the magazine more expensive? Explain.

( $10$ ) John spent $\frac{3}{10}$ of his money on a storybook and $\frac{3}{7}$ of the remaining amount on a magazine. $\newline$ (a) Is the storybook or the magazine more expensive? Explain.

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Theoretical probability

Full solution

Q. (

10

) John spent

\frac{3}{10}

of his money on a storybook and

\frac{3}{7}

of the remaining amount on a magazine.

\newline

(a) Is the storybook or the magazine more expensive? Explain.

Calculate Storybook Cost: John spends $\frac{3}{10}$ of his money on a storybook.
Calculate Remaining Money: Let's assume John has $\$10$ to make the calculations easier. $\newline$ Money spent on storybook = $\frac{3}{10} \times \$10 = \$3$ .
Calculate Magazine Cost: After buying the storybook, John has $\$10$ - $\$3$ = $\$7$ left.
Calculate Magazine Cost: After buying the storybook, John has $\$10$ - $\$3$ = $\$7$ left.John spends $\frac{3}{7}$ of the remaining $\$7$ on a magazine. $\newline$ Money spent on magazine = $\frac{3}{7} \times \$7$ = $\$3$ .

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