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$In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What fraction of the students who bought their lunches got a slice of pizza? Write your fraction in simplest form.$

In a group of $84$ kids, three-sevenths bought their lunches. Of those who bought their lunches, $9$ got a slice of pizza. What fraction of the students who bought their lunches got a slice of pizza? Write your fraction in simplest form.

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Find probabilities using combinations and permutations

Full solution

Q. In a group of

84

kids, three-sevenths bought their lunches. Of those who bought their lunches,

9

got a slice of pizza. What fraction of the students who bought their lunches got a slice of pizza? Write your fraction in simplest form.

Calculate Total Kids: Calculate the number of kids who bought their lunches. $\newline$ Total kids = $84$ $\newline$ Fraction that bought lunch = $\frac{3}{7}$ $\newline$ Kids who bought lunch = $84 \times \left(\frac{3}{7}\right)$
Find Fraction of Kids: Perform the multiplication to find the number of kids who bought lunch. $\newline$ Kids who bought lunch = $84 \times 3 / 7$ $\newline$ Kids who bought lunch = $36$

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