Question

Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

Answer 1

Let he has n pencils

So

`\\ \rm\hookrightarrow (6n)/(7)+5=17`

`\\ \rm\hookrightarrow (6n)/(7)=12`

`\\ \rm\hookrightarrow 6n=84`

`\\ \rm\hookrightarrow n=14`

Answer 2

Clyde has 14 pencils in his backpack

Explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

`17=5+(6)/(7) x \\\\ \Longleftrightarrow 17-5=(6)/(7) x \\\\ \Longleftrightarrow 12=(6)/(7) x \\ \\\Longleftrightarrow x=(12* 7)/(6) =14`