In a shipment of 400 parts, 15 were found to be defective. How many defective parts should be expected in a shipment of 1000 parts?
15/400 = x/1000
Cross multiply and solve for x.
To find out how many defective parts should be expected in a shipment of 1000 parts, we can set up a proportion based on the given information.
The proportion can be set up as:
"Defective parts in 400 parts" is to "Defective parts in 1000 parts" as "15" is to "x" (the number of defective parts in 1000 parts).
Mathematically, this can be represented as:
15/400 = x/1000
To solve for x, we can cross multiply:
15 * 1000 = 400 * x
This simplifies to:
15,000 = 400x
Now, to isolate x, we divide both sides of the equation by 400:
15,000/400 = x
This simplifies to:
x = 37.5
Therefore, we can expect approximately 37.5 defective parts in a shipment of 1000 parts. Since the number of defective parts must be a whole number, we will round up to the nearest whole number, which is 38.