Application Problems

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 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 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.

System Word Problems

Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie?

Word Problems

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?

Basic Word Problems

The sum of two numbers is 17.  The difference is 3.  Find the two numbers.

Elimination Method

3 + 2x − y = 0
−3 − 7y = 10x

Opposites

Make each pair of numbers opposites:

-7     and      14

-8     and      10

Elimination Method

Complete the following problem using the Elimination Method:

3x - 2y = 2
5x - 5y = 10