A055B- Word Problems: System of Equations

New York City 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 1 van and 12 buses with 574 students. High School B rented and filled 3 vans and 4 buses with 218 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: 5, Bus: 57

Van: 10, Bus: 47

Van: 5, Bus: 21

Van: 47, Bus: 10

Question 1 of 10

The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 11 vans and 1 bus with 212 students. High School B rented and filled 1 van and 11 buses with 412 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Van: 15, Bus: 51

Van: 25, Bus: 49

Van: 36, Bus: 16

Van: 16, Bus: 36

Question 2 of 10

Arjun and Dan are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Arjun sold 2 small boxes of tangerines and 2 large boxes of tangerines for a total of $44. Dan sold 8 small boxes of tangerines and 4 large boxes of tangerines for a total of $108. What is the cost of one small box of tangerines and one large box of tangerines?

small box of tangerines: $3, large box of tangerines: $8

small box of tangerines: $5, large box of tangerines: $17

small box of tangerines: $2, large box of tangerines: $12

small box of tangerines: $6, large box of tangerines: $21

Question 3 of 10

The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 6 senior citizen tickets and 2 student tickets for a total of $58. The school took in $148 on the second day by selling 12 senior citizen tickets and 8 student tickets. What is the price of one senior citizen ticket and one student ticket?

senior citizen ticket: $8, student ticket: $12

senior citizen ticket: $8, student ticket: $7

senior citizen ticket: $3, student ticket: $10

senior citizen ticket: $7, student ticket: $8

Question 4 of 10

Arjun and Sumalee each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Arjun spent $33 on 7 $ft^{2}$ of sod and 2 pots of ivy. Sumalee spent $45 on 1 $ft^{2}$ of grass sod and 7 pots of ivy. What is the cost of one $ft^{2}$ of grass sod and the cost of one pot of ivy?

$ft^{2}$ of grass sod: $6, pot of ivy: $3

$ft^{}$ of grass sod: $2, pot of ivy: $5

$ft^{2}$ of grass sod: $5, pot of ivy: $9

$ft^{2}$ of grass sod: $3, pot of ivy: $6

Question 5 of 10

Krystal and Mike are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Krystal sold 6 rolls of plain wrapping paper and 8 rolls of shiny wrapping paper for a total of $220. Mike sold 12 rolls of plain wrapping paper and 2 rolls of shiny wrapping paper for a total of $202. What is the cost of one roll of plain wrapping paper and one roll of shiny wrapping paper?

roll of plain wrapping paper: $14, roll of shiny wrapping paper: $17

roll of plain wrapping paper: $9, roll of shiny wrapping paper: $15

roll of plain wrapping paper: $17, roll of shiny wrapping paper: $14

roll of plain wrapping paper: $13, roll of shiny wrapping paper: $7

Question 6 of 10

Castel and Aliyah each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Castel spent $144 on 12 $ft^{2}$ of grass sod and 12 bunches of ornamental grass. Aliyah spent $78 on 6 $ft^{2}$ of grass sod and 9 bunches of ornamental grass. Find the cost of one $ft^{2}$ of grass sod and the cost of one bunch of ornamental grass.

$ft^{2}$ of grass sod: $6, bunch of ornamental grass: $3

$ft^{2}$ of grass sod: $2, bunch of ornamental grass: $10

$ft^{2}$ of grass sod: $10, bunch of ornamental grass: $2

$ft^{2}$ of grass sod: $5, bunch of ornamental grass: $3

Question 7 of 10

Shreya and Brenda are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Shreya sold 4 small boxes of oranges and 10 large boxes of oranges for a total of $224. Brenda sold 12 small boxes of oranges and 12 large boxes of oranges for a total of $384. What is the cost of one small box of oranges and one large box of oranges?

small box of oranges: $19, large box of oranges: $15

small box of oranges: $14, large box of oranges: $18

small box of oranges: $16, large box of oranges: $16

small box of oranges: $7, large box of oranges: $7

Question 8 of 10

Bill and Jill each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store. Bill spent $144 on 14 daylilies and 9 shrubs. Jill spent $155 on 15 dayliles and 10 shrubs. What is the cost of one daylily and the cost of one shrub?

daylily: $11, shrub: $1

daylily: $13, shrub: $1

daylily: $6, shrub: $3

daylily: $9, shrub: $2

Question 9 of 10

A boat traveled 132 miles downstream and back The trip downstream took 6 hours. The trip back took 22 hours. Find the speed of the boat in still water and the speed of the current.

boat: 22 mph, current: 13 mph

boat: 6 mph, current: 4 mph

boat: 15 mph, current: 5 mph

boat: 14 mph, current: 8 mph

Question 10 of 10