Question

On a team 5 girls and 2 boys scored a total of 41 points. The difference between the number of points scored by the 5 girls and the number of points scored by the
2 boys is 29. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy
Each girl scored points

Answer 1

Step-by-step explanation:

Let x be the number of points the 5 girls scored.

=> 41 - x is the number of points the 2 boys scored.

We have x + 29 = 41 - x or x - 29 = 41 - x.

=> 2x = 12 or 2x = 70

=> x = 6 or x = 35

We reject x = 6 as 6 is not a multiple of 5. (Each girl would have scored 1.2 points which is absurb)

So x = 35, each girl scored 35/5 = 7 points.

=> 41 - (35) = 6, each boy scored 6/2 = 3 points.