Question

A random sample of 20 seventh graders found that 14 participate in a local contest making duct-tape wallets. Complete parts a through c.

a. If there are 500 seventh graders, write a proportion to estimate the number of seventh graders, n, who participate in the contest.
The proportion
14 n
20 500
=
can be used to estimate the number of seventh graders who participate in the contest.
b. Solve the proportion to estimate the number of seventh graders who participate in the contest.
About seventh graders participate in the contest.
(Type a whole number.)

Answer 1

350

Explanation:

Using the proportion from part (a):

14/n = 20/500

Cross-multiplying, we get:

20n = 14 × 500

Dividing both sides by 20, we get:

n = 14 × 500 / 20 = 350

Therefore, about 350 seventh graders participate in the contest.