Systems of Equations Word Problems

Trevor and Kylie are selling fruit for a school fundraiser. Customers can buy small boxes of oranges (x) and large boxes of oranges (y). Trevor sold 3 boxes of small oranges and 14 boxes of large oranges for a total of $203. Kylie sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

What method would you use to solve the system below?

 $3x\ +\ 14y\ =\ 203$  

The length (y) of a rectangle is equal to triple the width (x). The perimeter of the rectangle is 86 centimeters.

What method would you use to solve the system below?

Eliezer's Ice-Cream Shop sells sundaes (x) for $2 and banana splits (y) for $3. On a hot summer day, he sold 8 more sundaes than banana splits and made $156.

What method would you use to solve the system below?

Stacy went to the store to buy vegetables. The cost of 5 squash (x) and 2 zucchini (y) was $1.32. Three squash and 1 zucchini cost $0.75.

What method would you use to solve the system below?

 $5x\ +\ 2y\ =\ 1.32$  

 $3x\ +\ y\ =\ .75$  

Alex decides to call for some fast food delivery. If he chooses McDonalds, the delivery fee is $7 and each sandwich costs $3.99. For KFC, there is no delivery fee but each sandwich (x) is $4.99. Let y be the total cost.

What method would you use to solve the system below?

 $y\ =\ 3.99x\ +\ 7$