Dan scored 5 times as many points as Joe in a basketball game. Mike scored an amount equal to the 6th multiple of 9. If the 3 boys scored a total of 126 points, how many points did Dan score? *

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

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