A group of 6 friends spent a total of p dollars on tickets to a concert. They spent no more than $15 each.

Question

Which inequality could be used to find the possible values of p?
A. p/6 ≥ 15
B. 6p ≤ 15
C.6p ≥ 15
D.p/6≤ 15

Answer 1

The total amount that the friends spent on tickets is p dollars, and each of them spent no more than $15.

Let's assume that each friend spent exactly $15 on tickets. In that case, the total amount spent by all 6 friends would be 6 * $15 = $90.

Since the friends spent no more than $15 each, the total amount spent by all 6 friends can be any value less than or equal to $90.

Therefore, the correct inequality to find the possible values of p is:

6p ≤ 90.

But we want to express the inequality in terms of p rather than the total amount spent by all 6 friends.

Dividing both sides of the inequality by 6, we get:

p ≤ 90/6

Simplifying further:

p ≤ 15

Therefore, the correct answer is:

D. p/6 ≤ 15