Question

After five games a football team's goal average is 2.8. After one more game the goal average is 3. The number of goals scored in the 6th game was:​

Answer 1

Step-by-step explanation:

After five games a football team’s goal average is $\frac{Sum}{5}= 2.8$

So sum = 14

The number of goal scored in the 6th game = x

So $\frac{Sum +x }{6}=3$

Sum + x = 18

14 + x = 18

x = 4

So the number of goal scored in the 6th game = 4

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Answer 2

Answer:

4 goals

Step-by-step explanation:

Let:

x = number of total goals scored in first 5 games

y = answer = number of goals in 6th game

formula:

average = sum of individual parts / total number of parts

average_5_games = x / 5 = 2.8

solve for x:

x = 2.8 × 5 = 14

average_6_games = (x + y) / 6 = 3

solve for y:

x + y = 6 × 3 = 18

y = 18 - x = 18 - 14 = 4