Systems: Real World Applications (Day 3)

Kayla's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 11 senior citizen tickets and 10 child tickets for a total of $252. The school took in $108 on the second day by selling 7 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

• senior citizen ticket: $12

  child ticket: $12

• senior citizen ticket: $14

  child ticket: $8

• senior citizen ticket: $18

  child ticket: $17

• senior citizen ticket: $5

  child ticket: $9

The local amusement park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 6 vans and 7 buses with 303 students. High School B rented and filled 12 vans and 2 buses with 210 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

• Van: 12 students

  Bus: 33 students

• Van: 16 students

  Bus: 35 students

• Van: 14 students

  Bus: 31 students

• Van: 5 students

  Bus: 23 students

Mark and Lea each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Mark spent $84 on 11 ft² of grass sod and 6 bunches of ornamental grass. Lea spent $45 on 6 ft² of grass sod and 3 bunches of ornamental grass. What is the cost of one ft² of grass sod and the cost of one bunch of ornamental grass?

• ft² of grass sod: $6

  bunch of ornamental grass: $3

• ft² of grass sod: $3

  bunch of ornamental grass: $6

• ft² of grass sod: $2

  bunch of ornamental grass: $2

• ft² of grass sod: $4

  bunch of ornamental grass: $5

Micaela and Jose are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Micaela sold 1 package of sugar cookie dough and 7 packages of gingerbread cookie dough for a total of $119. Jose sold 6 packages of sugar cookie dough and 6 packages of gingerbread cookie dough for a total of $138. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough?

• package of sugar cookie dough: $7

  package of gingerbread cookie dough: $16

• package of sugar cookie dough: $8

  package of gingerbread cookie dough: $8

• package of sugar cookie dough: $5

  package of gingerbread cookie dough: $15

• package of sugar cookie dough: $9

  package of gingerbread cookie dough: $17

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 6 buses with 186 students. High School B rented and filled 12 vans and 12 buses with 420 students. Every van had the same number of students in it as did the buses. Find the number of students in each van.

• 8

• 5

• 13

• 6

The school that Rob goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $91. The school took in $260 on the second day by selling 12 adult tickets and 8 child tickets. Find the price of an adult ticket.

• $13

• $12

• $10

• $20

Scott and Jordan each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Scott spent $114 on 12 rose bushes and 1 geranium. Jordan spent $75 on 3 rose bushes and 8 geraniums. What is the cost of one rose bush?

• $9

• $14

• $13

• $6

Carlos' school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 14 adult tickets and 2 child tickets for a total of $180. The school took in $168 on the second day by selling 7 adult tickets and 7 child tickets. Find the price of an adult ticket.

• $11

• $14

• $10

• $12

Kali's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult tickets and 2 child tickets for a total of $74. The school took in $33 on the second day by selling 5 adult tickets and 1 child ticket. What is the price of an adult ticket?

• $4

• $5

• $3

• $2

Julio and Shawna are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Julio sold 10 apple pies and 13 lemon meringue pies for a total of $288. Shawna sold 2 apple pies and 1 lemon meringue pie for a total of $32. How much does one apple pie cost?

• $8

• $16

• $6

• $9