At a school concert, the total value of tickets sold was $\$1{,}506$. Student tickets sold for $\$6$ each, and adult tickets sold for $\$9$ each. The number of adult tickets sold was **five less than three times** the number of student tickets sold. How many student tickets were sold?
A$37$
B$136$
C$151$
D$47$
Answer & Solution
Correct answer: D. $47$
Let $s$ be the number of student tickets. Then the number of adult tickets is $3s - 5$.
Total value: $6 s + 9 (3s - 5) = 1{,}506$.
Distribute: $6 s + 27 s - 45 = 1{,}506$.
Combine: $33 s - 45 = 1{,}506$.
Add $45$: $33 s = 1{,}551$.
Divide: $s = 47$.
Adult tickets: $3(47) - 5 = 141 - 5 = 136$.
Check: $6(47) + 9(136) = 282 + 1{,}224 = 1{,}506$ ✓.
- Trap C ($136$) is the number of **adult** tickets, not student. The question asks for *student*.
- Trap D ($151$) is unrelated.
- Trap A ($37$) gives a wrong total.
Related questions
GMAT DS questions should be paced at:The sum of 5 consecutive integers is always divisible by:If x² = 36, what can we conclude about x?A GMAT PS question asks: 'What is x if 3x + 5 = 23?' Options: 4, 5, 6, 7. The fastest apprOn a percentage question with abstract values, the recommended smart-number to assume is:Is 1,287 divisible by 3?In a GMAT DS question, what is the FIRST step?In GMAT DS, answer choice (A) is selected when: