Solving Word Problems Using Systems of Equations

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

1. In 2005, two of the top-selling cereals in the United States were Cheerios and Frosted Flakes, with combined sales of $939 million. Frosted Flakes sales were $439 million less than sales of Cheerios. What were the 2005 sales for each brand?
2. Two couples bought wedding pictures from a photographer. One couple bought 8 large photos and 12 small photos for $136, and the other couple bought 6 large photos and 24 small photos for $192. Find the cost of a single large photo and of a single small photo.
3. Together, an apple and a banana contain 190 calories. Three apples and two bananas contain 465 calories. How many calories are there in a single apple and in a single banana?
4. Together, an apple and a banana cost $0.95. Three apples and two bananas cost $2.50. Find the cost for a single apple and for a single banana.