Apply Systems of Equations

You sell tickets for admissions to your school play and collect a total of $104. Admissions prices are $6 for adults and $4 for children. You sold 21 tickets. Which system of equations represents this scenario.

• a + c = 104

  6a + 4c = 21

• 6 + 4 = a

  104 - 21 = c

• a + c = 21

  6a + 4c = 104

• a + c = 21

  6a - 4c = 104

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 bought the meat for Saturday's cookout. A package of hot dogs costs $1.60 and a package of hamburgers costs $5. You bought a total of 8 packages of meat and you spent $23. Which system of equations represents this word problem?

• x - y = 8

  1.60x - 5y = 23

• x + 1.60x = 8

  y + 5y = 23

• x + 5y = 8

  1.60x + y = 23

• x + y = 8

  1.60x + 5y =23

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

For senior night, the volleyball team sold 850 tickets for the big game. If it cost $5 for pre-sale tickets and $9 for tickets at the door, how many of each type were sold after the school raised a total of $6,050?

• 500 pre-sold

  350 at the door

• 450 pre-sold

  400 at the door

• 400 pre-sold

  450 at the door

• 650 pre-sold

  200 at the door

Phillip collects two kinds of baseball cards. The first kind is worth $5.50 each. The second kind is worth $3.90 each. If he has 46 cards altogether, and they are worth a total of $209. 80. Write a system of equations to represent this scenario.

• y = x + 46

  209.80 = -5.50x + 3.90y

• x + y = 46

  5.50x + 3.90y = 209.80

• x + y = 209.80

  5.50x + 3.90y = 46

• 209.80 - 46 = y

  5.50 + 3.90 = x

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachael orders 2 pizzas and 3 orders of breadsticks for $23. How much does a pizza cost?

• $2.00

• $6.50

• $6.00

• $8.50

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

Rob has $1.65 in nickels and dimes. He has 25 coins in all. How many of each kind of coin does he have?

• 20 nickels

  5 dimes

• 17 nickels

  8 dimes

• 21 nickels

  4 dimes

• 8 nickels

  17 dimes

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