Home › CAASPP Mathematics › Mathematics › Math Models › At a school concert, total ticket sales were $1,…
At a school concert, total ticket sales were $1,506. Student tickets sold for $6 and adult tickets for $9, and the number of adult tickets was five less than three times the number of student tickets. How many student tickets were sold?
A136
B251
C40
D47
Answer & Solution
Correct answer: D. 47
1. Let s equal the number of student tickets, so the number of adult tickets is 3s minus 5.
2. The total value equation is 6s plus 9(3s minus 5) equals 1,506.
3. Distribute and combine like terms: 33s minus 45 equals 1,506.
4. Add 45 and divide by 33 to get s equals 47 student tickets.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
Related questions
Remy has $14,000 to split between a fund paying 4% and a fund paying 7%. To earn 6.1% on tLeah sold 115 museum tickets for a total of $1,163. Adult tickets cost $12 and student ticSheila's salary fell from $42,000 last year to $37,800 this year because of furlough days.The average cost of a car in 2014 was $28,500, which was $1,500 less than 6 times the averA triangle has angles of 31 degrees and 128 degrees at two of its corners. How large is thMichaela has $2.05 in dimes and nickels, with seven more dimes than nickels. How many dimeAreli invested a principal of $950 at a 3% interest rate. How much simple interest did sheThe standard bus fare in Chicago rose from $1.50 in 1995 to $2.25 in 2008. What was the pe