Question

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

Answer 1

if he got 5 points in the first round and he needed at least thirty he would score 9 points in the next three rounds

Answer 2

p ≥ 8.33

Explanation:

Steward scored 5 points in the first round, then he needed 30 - 5 = 25 points in the following 3 rounds. Let's call p the three identical scores of these rounds. Therefore, the combined score of these rounds were 3*p, and must be equal-to-or-greater-than 25 to gain a place in the finals, that is:

3*p ≥ 25

p ≥ 25/3

p ≥ 8.33