System of Equations Word Problems

Front

There are 15 animals in a barn, consisting of horses and chickens, with a total of 44 legs. Which system of equations represents the situation?

Back

x + y = 15
4x + 2y = 44

Front

Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Back

4x + 6y = 13
3x + 7y = 13.5

Front

Solve: x + y = 55, x - y = 3

Back

(29, 26)

Front

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Back

Sugar Cookies $4
Oatmeal Cookies $8

Front

David sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. Total sales: $78.50. Total items sold: 87. Find the system of equations.

Back

(35, 52)

Front

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Back

Van 14
Bus 43

Front

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Back

Adult $12
Child $13

Front

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Back

5 multiple choice

Front

How many solutions will this system have?

Back

Infinitely Many Solutions

Front

What is the solution? Options: 1, -2, (1, 2), (1, -1)

Back

(1, -1)