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If the average (arithmetic mean) of p, q, and r is 4 q and q is not equal to 0, what is the ratio of q to the sum of p and r ?

Explanation	Calculations	Help
$We first translate "average (arithmetic mean) of p, q, and r is 4q" into an equation.$	$\frac{p + q + r}{3} = 4 q$
$We multiply both sides by 3 and subtract q from both sides to isolate p + r .$	$p + q + r = 12 q p + r = 12 q - q p + r = 11 q$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We then express the ratio of q to p + r and simplify by cancelling the common factor.$	$\frac{q}{p + r} = \frac{q}{11 q} \frac{q}{11 q} = \frac{q}{q \times 11} \frac{1}{11} ratio of q to p + r = 1 : 11$	Theory & Tactics Method Card FDPR2-A Click to view full details

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C

If the average (arithmetic mean) of p, q, and r is 4 q and q is not equal to 0, what is the ratio of q to the sum of p and r ?

Explanation	Calculations	Help
$We first translate "average (arithmetic mean) of p, q, and r is 4q" into an equation.$	$\frac{p + q + r}{3} = 4 q$
$We multiply both sides by 3 and subtract q from both sides to isolate p + r .$	$p + q + r = 12 q p + r = 12 q - q p + r = 11 q$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We then express the ratio of q to p + r and simplify by cancelling the common factor.$	$\frac{q}{p + r} = \frac{q}{11 q} \frac{q}{11 q} = \frac{q}{q \times 11} \frac{1}{11} ratio of q to p + r = 1 : 11$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

C