Question

you and your friend play an arcade game. you score 5 points for every 9 points that your friend scores. you score 320 points less than your friend. how many points do u each score

Answer 1

Answer:

The points scored by your friend  =  206 (approx)

and the point scored by you  = 114

Step-by-step explanation:

The ratio of the scored points by you and your friend is 5 : 9.

⇒For every 5 points, you score, your friend scores 9 points.

Now, let us assume the number of point friend scores = m

So, the number of point scored by you = 320 - m

⇒ The ratio of the scored points by you and your friend is 320 - m  : m.

Also, by the RATIO OF PROPORTIONALITY:

$\frac{5}{9}  = \frac{320 - m}{m}$

or, 5m = 9 (320 - m)

⇒ 5m = 2880  - 9m

or, 9m + 5 m = 2880

⇒ 14 m = 2880   or, m = 2880/14  =205 . 71

⇒ m = 206 (app)

So, the point scored by your friend  = m = 206

and the point scored by you  320 - m = 320 - 206 = 114