On a transcontinental flight, $18\%$...... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

On a transcontinental flight, 18% of the passengers had business‐class tickets and also checked golf clubs. If 75% of the passengers with business‐class tickets did not check golf clubs, what percent of the passengers had business‐class tickets?

Explanation	Calculations	Help
$We first create an unknown for the percentage of passengers who had business-class tickets.$	$B = percent of passengers with business-class tickets$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "75% of the passengers with business-class tickets did not check golf clubs" to find the remaining percent of those passengers who did check golf clubs.$	$B - \frac{75}{100} B = \frac{25}{100} B$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We translate "18% of the passengers had business-class tickets and also checked golf clubs" as the fraction of all passengers who both had business-class tickets and checked golf clubs.$	$\frac{25}{100} B = \frac{18}{100}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We solve the linear equation to find the percentage of passengers with business-class tickets.$	$\frac{25}{100} B = \frac{18}{100} B = \frac{\frac{18}{100}}{\frac{25}{100}} = \frac{18}{25} = 0.72 = 72%$

Scroll horizontally to view all columns

C

On a transcontinental flight, 18% of the passengers had business‐class tickets and also checked golf clubs. If 75% of the passengers with business‐class tickets did not check golf clubs, what percent of the passengers had business‐class tickets?

Explanation	Calculations	Help
$We first create an unknown for the percentage of passengers who had business-class tickets.$	$B = percent of passengers with business-class tickets$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "75% of the passengers with business-class tickets did not check golf clubs" to find the remaining percent of those passengers who did check golf clubs.$	$B - \frac{75}{100} B = \frac{25}{100} B$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We translate "18% of the passengers had business-class tickets and also checked golf clubs" as the fraction of all passengers who both had business-class tickets and checked golf clubs.$	$\frac{25}{100} B = \frac{18}{100}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We solve the linear equation to find the percentage of passengers with business-class tickets.$	$\frac{25}{100} B = \frac{18}{100} B = \frac{\frac{18}{100}}{\frac{25}{100}} = \frac{18}{25} = 0.72 = 72%$

Scroll horizontally to view all columns

C