If the average (arithmetic mean) of $p$, $q$, and ... | 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!

If the average (arithmetic mean) of p, q, and r is 9 q and q is not equal to 0, what is the ratio of q to the sum of p and r ?

Explanation	Calculations	Help
$We first translate "the average (arithmetic mean) of p, q, and r is 9q" into an equation.$	$\frac{p + q + r}{3} = 9 q$
$We then multiply both sides by 3 and subtract q to isolate p + r .$	$p + q + r = 27 q p + r = 27 q - q p + r = 26 q$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We next express the ratio of q to p + r and simplify.$	$\frac{q}{p + r} = \frac{q}{26 q} = \frac{q}{q \times 26} = \frac{1}{26} ratio of q to p + r = 1 : 26$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

A

If the average (arithmetic mean) of p, q, and r is 9 q and q is not equal to 0, what is the ratio of q to the sum of p and r ?

Explanation	Calculations	Help
$We first translate "the average (arithmetic mean) of p, q, and r is 9q" into an equation.$	$\frac{p + q + r}{3} = 9 q$
$We then multiply both sides by 3 and subtract q to isolate p + r .$	$p + q + r = 27 q p + r = 27 q - q p + r = 26 q$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We next express the ratio of q to p + r and simplify.$	$\frac{q}{p + r} = \frac{q}{26 q} = \frac{q}{q \times 26} = \frac{1}{26} ratio of q to p + r = 1 : 26$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

A