Answer:
The points each have scored are Susie 45.5 points and jack 40.5 points.
Step-by-step explanation:
Given:
Susie and jack are on a basketball team.
The total amount of points scored was 86.
Susie has 5 more than as many points as jack.
Now, to find the points they each have:
Let the points of jack be [tex]x[/tex].
Then the points of Susie be [tex]5+x[/tex].
There total points scored = 86.
According to question:
[tex]x+(x+5)=86.[/tex]
⇒ [tex]x+x+5=86.[/tex]
⇒ [tex]2x+5=86.[/tex]
Subtracting both sides by 5 we get:
⇒ [tex]2x=81.[/tex]
Dividing both sides by 2 we get:
⇒ [tex]x=40.5.[/tex]
Jack scored = 40.5 points.
Putting the value of [tex]x[/tex] to get the points of Susie:
[tex]x+5[/tex]
⇒ [tex]40.5+5 = 45.5[/tex]
Susie scored = 45.5 points.
Therefore, the points each have scored are Susie 45.5 points and jack 40.5 points.
