Answer :
10 000 samples wiegh 1 pound.
1 sample would weigh (1 / 10 000) pound
10 samples would then weigh 1 / 10 000 * 10 = 1/1000 = 0.001 Pound
1 sample would weigh (1 / 10 000) pound
10 samples would then weigh 1 / 10 000 * 10 = 1/1000 = 0.001 Pound
The correct answer is:
1/1000 of a pound.
Explanation:
We will set up a proportion to solve this.
The first ratio of the proportion comes from our given information. 10,000 samples weigh 1 pound; this gives us the ratio 10,000/1.
The second ratio will be set up in the same fashion; in this case, the number of samples over the number of pounds. We know we have 10 samples, but an unknown number of pounds; this means we use a variable to represent the number of pounds:
10/x
This makes our proportion
10,000/1 = 10/x
Cross multiplying, we have
10000(x) = 10(1)
10000x = 10
Divide both sides by 10000:
10000x/10000 = 10/10000
x = 10/10000 = 1/1000