Question

At the end of the soccer season, the player who scored the most goals had 8 more goals than the player who had the second most goals. The player who had the second most goals had 15 more goals than the third player. The total number of goals scored by all three of the players was 98. Determine the number of goals scored by the player with the most goals. Show your working out.

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Answer 1

Explanation:

x = the number of goals of the top scorer.

y = the number of goals of the second top scorer.

z = the number of goals of the third top scorer.

x + y + z = 98

x = y + 8

y = z + 15

using the third in the second equation we get

x = z + 15 + 8 = z + 23

and now using this and the third equation in the first equation gives us

z + 23 + z + 15 + z = 98

3z + 38 = 98

3z = 60

z = 20

y = z + 15 = 20 + 15 = 35

x = y + 8 = 35 + 8 = 43

the player with the most goals scored 43 goals.