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If the average (arithmetic mean) of x, y, and z is 7 x and x is not equal to 0, what is the ratio of x to the sum of y and z ?

Explanation	Calculations	Help
$We first translate "average (arithmetic mean) of x, y, and z is 7x" into an equation.$	$\frac{x + y + z}{3} = 7 x$
$We multiply both sides by 3 and then subtract x from both sides to isolate y + z .$	$x + y + z = 21 x y + z = 21 x - x y + z = 20 x$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We then find the ratio of to by expressing and simplifying the fraction.$	$\frac{x}{y + z} = \frac{x}{20 x} \frac{x}{20 x} = \frac{x}{x \times 20} \frac{1}{20} ratio of x to y + z = 1 : 20$	Theory & Tactics Method Card FDPR2-A Click to view full details

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If the average (arithmetic mean) of x, y, and z is 7 x and x is not equal to 0, what is the ratio of x to the sum of y and z ?

Explanation	Calculations	Help
$We first translate "average (arithmetic mean) of x, y, and z is 7x" into an equation.$	$\frac{x + y + z}{3} = 7 x$
$We multiply both sides by 3 and then subtract x from both sides to isolate y + z .$	$x + y + z = 21 x y + z = 21 x - x y + z = 20 x$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We then find the ratio of to by expressing and simplifying the fraction.$	$\frac{x}{y + z} = \frac{x}{20 x} \frac{x}{20 x} = \frac{x}{x \times 20} \frac{1}{20} ratio of x to y + z = 1 : 20$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

1:20