The quick equation for this is as follows:
x=850/(2*6*24)
x=850/288
x=2.95, rounded up to x=3
Basically you calculate how many golf balls are in a case (24*6) and then multiply this by the price per golf ball which gives you the price per case.
Since you know they need to raise 850 you simply divide it by the value per case, the reverse of price*quantity=revenue and you have the number of cases.
Hope it helps,
Cheers