Question

Tickets for a school talent show cost $\$2$ for students and $\$3$ for adults. If Chris spends at least $\$11$ but no more than $\$14$ on x student tickets and 1 adult ticket, possible value(s) of x is/are ___

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer: (C), (D)

The correct options are
C

4

D

5

Given that Chris spends $\$3$ on one adult ticket and $\$2$ per ticket on x children's ticket. Hence, total amount spent = 3 + 2x
Further, it is given that Chris spends at least $\$11$ and at most $\$14$. This can be represented by the inequality
$11\le 3+2x\le 14$
$\Rightarrow 8\le 2x\le 11$
$\Rightarrow 4\le x\le 5.5$
Since x is an integer, the possible values for x are 4 or 5.