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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.
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