Applying Systems of Equations Warmup 2

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order the steak dinner for $17. If the total bill was $91, how many people ordered each type of dinner?

• 2 steak dinners

  4 chicken dinners

• 1 steak dinner

  5 chicken dinners

• 5 steak dinners

  1 chicken dinner

• 4 steak dinners

  2 chicken dinners

You purchase 8 gallons of paint and 3 brushes for $152.50. The next day, you purchase 6 gallons of paint and 2 brushes for $113.

How much does one gallon of paint cost?

• $17.00

• $13.50

• $5.50

• $34

Click the two equations that you would use to answer the problem shown:

Find the value of two numbers if their sum is 16 and their difference is 2.

Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets for $76. How many adult tickets and how many student tickets were purchased?

• 5 adult tickets

  3 student tickets

• 6 adult tickets

  2 student tickets

• 1 adult tickets

  7 student tickets

• 3 adult tickets

  5 student tickets

Jacob bought some tickets to see his favorite singer. He bought some adult tickets and some childrens tickets, for a total of 9 tickets. The adult tickets cost $10 per ticket, and the children’s tickets cost $8 per ticket. He spent a total of $76. Which system of equations represents this word problem?

• a + c = 9

  10a + 8c = 76

• a + c = 9

  10a + 8c = -76

• a + c = 76

  10a - 8c = 9

• a - c = 9

  10a - 8c = 76

The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes of notebook paper are $17. Which system of equations represents this word problem?

• x + y = 15

  5x + 10y = 30.25

• 3x + 2y = 13.25

  4x + 6y = 17

• 3x + 4y = 13.25

  2x+ 6y = 17

• 3x + 6y = 13.25

  2x + 4y = 17