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Applications of Equations

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

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?

a)

The numbers are 8 and 4.

b)

The numbers are 6 and 6.

c)

The numbers are 12 and 0.

d)

The numbers are 11 and 1.

2.

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?

a)

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

b)

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

c)

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

d)

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

3.

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)

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

b)

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

c)

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

d)

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

4.

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?

a)

There were 90 adult tickets and 60 child tickets sold.

b)

There were 60 adult tickets and 90 child tickets sold.

c)

There were 50 adult tickets and 40 child tickets sold.

d)

There were 40 adult tickets and 50 child tickets sold.

5.

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)

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

b)

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

c)

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

d)

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

6.

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?

a)

The two numbers are 11 and 3.

b)

The two numbers are 9 and 5.

c)

The two numbers are 7 and 7.

d)

The two numbers are 4 and 10.

7.

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)

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

b)

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

c)

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

d)

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

8.

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.

a)

Adult: 525 Child: 350

b)

Adult: 1575 Child: 525

c)

Adult: 522 Child: 305

d)

Adult: 503 Children: 525

9.

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?

a)

2- point: 20

b)

4- point: 15

c)

2- point: 15

d)

4- point: 20

10.

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

a)

24 dimes, 4 quarters

b)

20 dimes, 8 quarters

c)

14 dimes, 14 quarter

d)

4 dimes, 12 quarters