The machine has 30 yellow balls, 45 blue balls, and 75 pink balls. suppose the store purchases a shipment of 2,000 rubber balls. how many balls of each color should be expected in the shipment?

If the store was ordering a shipment of balls proportional to the 30 45 75 stated above, then the store would have ordered a package with 400 yellow balls, 600 blue balls (heh), and 1,000 pink balls.

Work: There were 150 balls total 30+45+75 =150. 30/150 = x/2000; 45/150 = x/2000; 75/150 = x/2000

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)