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

Answer:

Clyde has 14 pencils in his backpack

Step-by-step 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 :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$

Answer 2

Let he has n pencils

So

$\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17$

$\\ \rm\hookrightarrow \dfrac{6n}{7}=12$

$\\ \rm\hookrightarrow 6n=84$

$\\ \rm\hookrightarrow n=14$