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Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purchasing lunch to students bringing a bag lunch?

1 Answer

May 18, 2018

$2 : 3$ $2" ":" "3$

Explanation:

The number of students who bring a bag lunch = $240 - 96 = 144$ $240-96 = 144$

A ratio is a comparison between the two quantities.

$students who purchase : students who bring$ $" students who purchase ":" students who bring"$

$\times \times \times \times \times \times \times 96 : 144 \leftarrow$ $color(white)(xxxxxxxxxxxxxx)96" ":" "144" "larr$ find simplest form

$\times \times \times \times \times \times \times x 8 : 12 \leftarrow \div 12$ $color(white)(xxxxxxxxxxxxxxx)8" ":" "12" "larr div 12$

$\times \times \times \times \times \times \times x 2 : 3 \leftarrow \div 4$ $color(white)(xxxxxxxxxxxxxxx)2" ":" "3" "larr div 4$

If you had recognised that the $H C F$ $HCF$ was $48$ $48$ you could get the the simplest form immediately. If not, divide by any common factors.

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