Applications of Equations

Two high schools planned senior trips. High school A rented 1 van and 6 buses. They took 372 students. High school B rented 4 vans and 12 buses. They took 780 students. How many students does a van and bus hold?

• A van holds 24 students and a bus hold 54 students.

• A van holds 18 students and a bus holds 59 students.

Manassas Park is selling tickets for their fall musical. On the first day of sales, we sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, we sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

• An adult ticket costs $4 and a student ticket costs $7.

• An adult ticket costs $7 and a student ticket costs $4.

You and a friend are selling hamburgers and water at a concession stand. You sold 3 hamburgers and 14 waters for a total of $203. Your friend sold 11 hamburgers and 11 waters for a total of $220. Find the cost of a hamburger and water.

• A hamburger costs $7 and a water costs $13.

• A hamburger costs $8 and a water costs $2.

A movie theater charges $10 for each adult ticket and $5 for each child ticket. At a showing where 150 tickets were sold, the theater collected $1200. How many child and adult tickets were sold?

• There were 60 adult tickets and 90 child tickets sold.

• There were 50 adult tickets and 40 child tickets sold.

You and a friend go to Chick-Fil-A. You order 2 chicken sandwiches and 5 cookies. Your bill is $17. Your friend orders 3 chicken sandwiches and 2 cookies. Their bill is $20. How much does a chicken sandwich and a cookie cost?

• A sandwich costs $5 and a cookie costs $2.

• A sandwich costs $6 and a cookie costs $1.

The math club is taking a trip to the MoMath Museum in NYC. Manassas Park rented 2 vans and 3 buses. They took 200 students. Prince William rented 4 vans and 10 buses. They took 600 students. How many students does a van and bus hold?

• A van holds 35 students and a bus holds 45 students.

• A van holds 25 students and a bus holds 50 students.