Question

The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?

Answer 1

Answer:

9

Step-by-step explanation:

Given that :

Total Number of scorings (both Teams) = 18

Let :

x = number of 5 point score ; y = number of 2 point score

Total points scored = 34 + 29 = 63

x + y = 18 - - - (1)

5x + 2y = 63 - - (2)

From (1)

y = 18 - x

In (2) ; we have ;

5x + 2(18 - x) = 63

5x + 36 - 2x = 63

3x + 36 = 63

3x = 63 - 36

3x = 27

x = 9

9 5-point plays