Systems of Equations - Applications
Solving Problems Using Systems of Equations
You will need pencil and paper for this assignment.
Solve each problem by   creating a system of  equations to represent   the scenario and then    solve them using the    appropriate method.
Mrs. Brown's class was selling hot dogs and soda before a game. Hot dogs cost $1.50 and sodas cost $0.75.  At the end of an hour, they sold 15 items and collected $18. How many hot dogs and sodas did they sell?
They sold           hot dogs and          sodas.
You and a friend went to Taco Bell for lunch.  You ordered 3 soft tacos and 3 burritos for $11.25.  Your friend ordered 4 soft tacos and 2 burritos for $10.  How much do soft tacos cost?  How much do burritos cost?
Soft tacos cost $             each and 
    burritos cost $             each.
Sara sold 461 tickets for a school play.  Student tickets 
cost $3 and adult tickets cost $4. Sara's sales totaled 
$1624. How many adult tickets and how many student 
tickets did Sara sell?
Sara sold          adult tickets and
                      student tickets.
Find two numbers that have a sum of 33 
             and a difference of 13.
The smaller number is            

and the larger number is              .
Mrs. Maher bought 7 tickets at a discount movie theater. She spent a total of $43.  Adult tickets cost $9 and children tickets cost $4.  How many tickets of each type did Mrs. Maher purchase?
Mrs. Maher purchased           children's tickets

and          adult tickets.
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