We can choose any method that we like to solve the system of equations. One equation will be related your lunch and one equation will be related to your friend's lunch.ģx + 3y = 11.25 (Equation representing your lunch)Ĥx + 2y = 10 (Equation representing your friend's lunch) In this problem, I don't know the price of the soft tacos or the price of the burritos. How much do soft tacos cost? How much do burritos cost? Your friend's bill is $10.00 for four soft tacos and two burritos. You order three soft tacos and three burritos and your total bill is $11.25. You and a friend go to Tacos Galore for lunch. Many problems lend themselves to being solved with systems of linear equations. ThinkĬarefully about what's happening in the problem when trying to write the Solving word problems can be done in two ways. For success with word (or applied) difficulties, practice and mastery of certain basic translation processes are essential. Word problems, also known as applied problems, are situations in which unknowns are described using words. That wasn't too bad, was it? The hardest part is writing the equations.įrom there you already know the strategies for solving. Simultaneous equations are ones that need simultaneous solutions. Since both equations check properly, we know that our answers are correct! Write your answer in a complete sentence.ģ5 hot dogs were sold and 52 sodas were sold.
I am going to choose the substitution method since I can easily solve the 2nd equation for y. X + y = 87 (Equation related to the number sold) One equation will be related to the price and one equation will be related to the quantity (or number) of hot dogs and sodas sold.ġ.50x + 0.50y = 78.50 (Equation related to cost) (Usually the question at the end will give you this information). So this is what each variable will stand for. In this problem, I don't know how many hot dogs or sodas were sold. Ask yourself, "What am I trying to solve for? What don't I know?.
Let's start by identifying the important information: How many hot dogs were sold and how many sodas were sold?ġ. You must report the number of hot dogs sold and the number of sodas sold. You sold a total of 87 hot dogs and sodas combined. At the end of the night you made a total of $78.50. Each hot dog costs $1.50 and each soda costs $0.50. You are running a concession stand at a basketball game. (Having a calculator will make it easier for you to follow along.) Always write your answer in complete sentences!