Answer:
Chris = 17 goals
Kieran = 25 goals, and
Jermaine = 30 goals
Explanation:
Let K, J, and C stand for the goals scored by Kieran, Jermaine, and Chris, respectively.
We learn that:
K = C + 8 [Kieran scored 8 more goals than Chris]
J = K + 5 [Jermaine scored 5 more goals than Kieran]
K + J + C = 72 [Altogether they have scored 72 goals]
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We have 3 equations and 3 unknowns. Therefore, we should be able to find a solution by rearranging and substituting.
Let's start with K + J + C = 72 and find ways to eliminate two of the three variables.
We can substitute for K since K = C + 8
K + J + C = 72
(C+8) + J + C = 72
Rearrange:
2C+8 + J = 72
We can also substitute for J since J = K + 5
2C+8 + J = 72
2C+8 + (K + 5) = 72
Again, we can substitute for K since (K = C + 8)
2C+8 + (C+8) + 5 = 72
2C+8 + (C+8) + 5 = 72
3C +21 = 72
3C = 51
C = 17
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Since C = 17, we can find K with K = C + 8
K = C + 8
K = 17 + 8
K = 25
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Since K = 25, we can find J with J = K + 5
J = K + 5
J = 25 + 5
J = 30
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We find:
C (Chris) = 17 goals
K (Kieran) = 25 goals, and
J (Jermaine) = 30 goals
17 + 25 + 30 = 62 total goals.