Sewanhaka High School Math 8 Per:________________ Name:________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:_____________________ H.W. #46: Ditto DO-NOW #46: Answer the following questions. Show work. 1) Solve for q 2) Check: 2 7 2 7 (14q + ) – 3q = 9 (14q + ) – 3q = 9 7 2 7 2 Topic: Expressions and Equations Main Idea: More on using a System of Equations to Solve Word Problems Aim: RECALL NOTES Sharon works in a bookstore where she has been allotted $22,500 to purchase either hard-cover books at $12 each, or soft-cover books at $3 each, or some combination of both. If Sharon decides to buy a total of 4,500 soft and hard cover books, how many hard-cover books and soft cover books can she purchase? The sum of Sally’s age plus twice Tomas’ age is 12. The difference of Sally’s age and Tomas’ age is 3. Write and solve a system of equations algebraically and graphically to find their ages. Interpret the solution. Drill: Answer the following questions: Write a system of equations in terms of two variables that can be used to help solve the problem. Make sure to check your answer. 1) Margie is responsible for buying a week’s supply of food and medication for the dogs and cats at a local shelter. The food and medication and for each dog cost twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication? 2) Elaine bought a total of 15 shirts and pairs of pants. She bought seven more shirts than pants. How many of each did she buy? Summary: If time: Answer the following questions: Write a system of equations in terms of two variables that can be used to help solve the problem. Make sure to check your answer. Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have?