Solve Systems Word Problem

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

• 10 adults, 11 children

• 12 adults, 9 children

• 11 adults, 10 children

• 9 adults, 12 children

Chase is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, Chase made a total of $78.50 and sold a total of 87 nachos and sodas combined. How much of each item did he sell?

• 35 nachos, 52 sodas

• 18 nachos, 69 sodas

• 52 nachos, 35 sodas

• 61 nachos, 26 sodas

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

• Van: 43

  Bus: 14

• Van: 11

  Bus: 21

• Van: 14

  Bus: 43

• Van: 17

  Bus: 45

On the first night, Raleigh Grande 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.

• Adult $13

  Child $5

• Adult $10

  Child $6

• Adult $8

  Child $16

• Adult $12

  Child $13

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

• 8 large, 2 small

• 6 large, 4 small

• 4 large, 2 small

• 2 large, 2 small

Layah's family goes to a restaurant for dinner. There are 6 people in her family. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how many of each kind of dinner was purchased?

• 3 chicken, 3 steak

• 5 chicken, 1 steak

• 1 chicken, 5 steak

• 4 chicken, 2 steak

The school that Braden goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

Sophia went to the grocery story. 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?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• 4x - 6y = 13

  3x - 7y = 13.5

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 steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

The sum of Mr. Duffee's and Mrs. George's age is 68. The difference is 10. Let x represent Mr. Duffee's age. Let y represent Mrs. George's age. How old is Mrs. George?

• 29

• 39

• 19