Creating Systems of Equations from Word Problems

​Systems of Equations with Word Problems

​Creating a System of Equations

1. Define your variables. What is x and y representing in context to the question?

2. Create your equations. Sometimes starting with what the equations should be set to equal is a good starting place. Remember "is" usually means "=".

3. Solve your system to find your answer. Remember to pay attention to what you defined as x and y!

Open Ended

At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and three small candles and paid $16.75. Find the cost of each.

Open Ended

A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower cost $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many of each type were sold.

Open Ended

A summer soccer camp ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. If they paid $1,046 total for the purchase, how many of each item was ordered?

Open Ended

Jace has $2.15 in nickels and dimes. If he has 7 more nickels than dimes, how many of each kind of coin does he have?