Ratios

singhmaharaj wrote:Shipment / Number of Defective Chips in the Shipment / Total number of Chips in the Shipment
S1 / 2 / 5,000
S2 / 5 / 12,000
S3 / 6 / 18,000
S4 / 4 / 16,000

A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all the future shipments to equal the corresponding rate for shipments S1, S2, S3, and S4 combined, as shown in the table above. What is the expected number of defective chips in the shipment of 60,000 chips?

A) 14

B) 20

C) 22

D) 24

E) 25

singhmaharaj wrote:Since the question said that the total number of chips in all future shipments to equal the corresponding rate for the shipment S1, S2, S3, and S4 combined, my interpretation was something like this

# of defective / 60,000 = { (2/5000) + (5/12,000) + (6/18,000) + (4/16,000) }

# of defective /60,000 = 1/1000 { 2/5 + 5/12 + 6/18 + 4/16}

# of defective /60,000 = 1/1000 {(12 + 25 + 20 + 15)} / 60

# of defective = 84

This does not match any of the given answer choices.

But I want to understand why am I wrong??? :!: :