Let x = number of basketballs, and y = number of soccer balls. First, set up the given data in a table

	Basketballs x	Soccer Balls y	Total
Forming machine	2 (min)	1	60 (min)
Inflating machine	1 (min)	1.5	60 (min)

the 60's are there since both machines run constantly.

This leads to the system

2x + y = 60
x + 1.5y = 60

which has solution (15, 30). Thus, you should make 15 basketballs and 30 soccer balls.

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