Word problems for algebra

Question

For every 9 students who were accepted for admission to a particular university, there were 19 students who were not accepted. If 644 students applied, how many were accepted for admission?

Answer 1

9 + 19 = 28

So

9 (accepted) is to 28 (total) as

X (accepted) is to 644 (total)

Set up a ratio:

9 = X

28 644

(9)(644) divided by 28 = 207

Answer 2

If 9 accepted and 19 not accepted, then 9 out of every 28 are accepted.

Set up a proportion:

9 accepted = x accepted

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28 total 644 total

28x = 5796

207 accepted