Question

Susie and jack are on a basketball team. The total amount of points scored was 86. If Susie has 5 more than as many points as jack then how many points do they each have

Answer 1

The points each have scored are Susie 45.5 points and jack 40.5 points.

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
`x`.

Then the points of Susie be
`5+x`.

There total points scored = 86.

According to question:

`x+(x+5)=86.`

⇒
`x+x+5=86.`

⇒
`2x+5=86.`

Subtracting both sides by 5 we get:

⇒
`2x=81.`

Dividing both sides by 2 we get:

⇒
`x=40.5.`

Jack scored = 40.5 points.

Putting the value of
`x` to get the points of Susie:

`x+5`

⇒
`40.5+5 = 45.5`

Susie scored = 45.5 points.

Therefore, the points each have scored are Susie 45.5 points and jack 40.5 points.