Question

A toy store purchases small rubber balls that come in different colors in bulk from a wholesaler. The manager randomly filled the vending machine in the store with some of these balls. 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?

Answer 1

The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:

P(yellow) =30/150 = 20%

P(blue) = 45/150= 30%

P(pink) =75/150 = 50%

If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.

PLATO ANSWER

Answer 2

400 yellow 600 blue 1000 pink

Explanation:

30 yellow balls, 45 blue balls, and 75 pink balls

initial sample = ratio of 2:3:5

Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink

2+3 + 5 = 10 1) We add up the ratio

2000/10 = 200 2)We apply the ratio total to shipment total

and divide.

2 x 200 = 400 3)We multiply by 200

3 x 200 =600

5 x 200 = 1000

Simple as that.