Question

In a song competition, a participant has to score a total of at least 20 points in the first four rounds combined to move on to the fifth and final round. Curtis scored 2 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 Curtis scored in each of the second, third, and fourth rounds if he earned a place in the finals?

2 + 3p ≤ 20

2p + 3 ≥ 20

2 + 3p ≥ 20

2p + 3 ≤ 20
@mathstudent55

Answer 1

In the first round he has 2 points.
That means you must add a plain 2 (not 2p) to what he got in other rounds.

Answer 2

Also, at least 20 points means
sum of pints >= 20, not sum of points <= 20

Answer 3

ok

Answer 4

Since in rounds 2, 3 and 4 he scored the same number of points in each round, let's say he scored p points in each of those 3 rounds.
p points in each of 3 rounds means 3p points total in those 3 rounds.

Answer 5

i think i know what the answer is now.
is it 2 + 3p ≥ 20?

Answer 6

Now we know he has 2 points in the first round, and 3p points total in rounds 2, 3, and 4.
That means so far, at the end of round 4, he has 2 + 3p points.

Answer 7

Since he needs at least 20 points, that means