A056B – Word Problems: System of Equations II

Ryan and Jaidee are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and strawberry cheesecakes. Ryan sold 10 pecan cheesecakes and 8 strawberry cheesecakes for a total of $184. Jaidee sold 5 pecan cheesecakes and 5 strawberry cheesecakes for a total of $110. Find the cost of each a pecan cheesecake and a strawberry cheesecake.

A boat traveled 160 miles downstream and back. The trip downstream took 8 hours. The trip back took 80 hours. What is the speed of the boat in still water? What is the speed of the current?

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 7 vans and 10 buses with 450 students. High School B rented and filled 2 van and 5 buses with 210 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?

The sum of the digits of a certain two-digit number is 13. When you reverse its digits you decrease the number by 9. What is the number?

Brenda and Stephanie are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Brenda sold 12 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $237. Stephanie sold 6 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $141. What is the cost of one roll of plain wrapping paper and one roll of holiday wrapping paper?

When you reverse the digits in a certain two-digit number you increase its value by 9. Find the number if the sum of its digits is 17.

Yellowstone National 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 8 vans and 5 buses with 287 students. High School B rented and filled 7 vans and 10 buses with 493 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?

The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 12 vans and 4 buses with 324 students. High School B rented and filled 6 vans and 6 buses with 354 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?

The school that Elisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 student tickets for a total of $39. The school took in $39 on the second day by selling 7 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a student ticket.

Sumalee and Molly each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Sumalee spent $56 on 7 rose bushes and 6 shrubs. Molly spent $57 on 11 rose bushes and 5 shrubs. Find the cost of one rose bush and the cost of one shrub.