Applications Systems of Equations

When we add two numbers, x, and y, we get 12. When we subtract the two numbers, we get 4. What are the two numbers?

• The numbers are 8 and 4.

• The numbers are 6 and 6.

• The numbers are 12 and 0.

• The numbers are 11 and 1.

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.

• An adult ticket costs $6 and a student ticket costs $3.

• An adult ticket costs $3 and a student ticket costs $6.

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 $13 and a water costs $7.

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

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

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 90 adult tickets and 60 child tickets sold.

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

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

• There were 40 adult tickets and 50 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 $6 and a cookie costs $1.

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

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

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

When we add two numbers, x, and y, we get 14. When we subtract the two numbers, we get 8. What are the two numbers?

• The two numbers are 11 and 3.

• The two numbers are 9 and 5.

• The two numbers are 7 and 7.

• The two numbers are 4 and 10.

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 25 students and a bus holds 50 students.

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

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

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

One Saturday a movie theater sold 875 tickets. The movie theater charges $5 for an adult ticket

and $2 for a child ticket. Find how many of each ticket was sold if the theater made $3325.

• Adult: 525 Child: 350

• Adult: 1575 Child: 525

• Adult: 522 Child: 305

• Adult: 503 Children: 525

Your teacher is giving you a 35 question test. There are 2-point and 4-point questions on the test and it is worth 100 points. How many of each type of question are on the test?

• 2- point: 20

• 4- point: 15

• 2- point: 15

• 4- point: 20

Brandon has 28 dimes and quarters in his pocket worth $3.40. Find the number of dimes and quarters Brandon has

• 24 dimes, 4 quarters

• 20 dimes, 8 quarters

• 14 dimes, 14 quarter

• 4 dimes, 12 quarters