On the night of the dance, 400 students show up to the party. 70% of the students who showed up were invited. If 40% of those invited to the party had their invitation revoked and were not allowed into the party, how many invited students attended the party?
Thoughts? Step-by-step reasoning:
On the night of the dance 70 / 100 * 400 = 280 students who showed up to the party were invited. If 40% of those invited to the party had their invitation revoked, there were 40 / 100 * 280 = 112 students who showed up and had their invitation revoked. The number of invited students who attended the party is 280 - 112 = 168.
Thus, the answer is 168.