Question

When a fraction of 17 is taken away from 17 what remains exceeds one-third of seventeen by six.

Answer 1

1/3x17/1=51/1 that's how you do it by explaining

Answer 2

Answer:

The fraction taken away from 17 is $\frac{16}{3}$

Step-by-step explanation:

The simplest way to solve this word problem is to set to equations equal to one another and solve the missing fraction.

The one side of the equation is 17 subtracted by an unknown fraction.

The other side is one third of seventeen added to 6.

$17-x=\frac{1}{3}(17)+6\\x=17-6-\frac{1}{3}(17)\\x=11-\frac{17}{3} \\x=\frac{33}{3} -\frac{17}{3}\\x=\frac{16}{3}$