Answer:
60
Step-by-step explanation:
Let the points scored by Dan, Joe and Mike be D, J and M respectively.
Given that Mike scored an amount equal to the 6th multiple of 9.
Therefore, it can be expressed as,
M = 6 x 9 = 54 ---------- (i)
It is also given that, Dan scored 5 times as many points as Joe in a basketball game.
Therefore, it can be expressed as,
D = 5J ---------- (ii)
Finally, it is given that, the 3 boys scored a total of 126 points.
Therefore, it can be expressed as,
D + J + M = 126
From equations (i) and (ii), we get,
5J + J + 54 = 126
6J + 54 = 126
6J = 126 - 54
6J = 72
Therefore, J = 72/6 = 12
From equation (ii),
D = 5J
Therefore, D = 5 x 12 = 60
Therefore, Dan scored 60 points.
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