Solving Systems of Equations: Word Problems
Do Now: Graph and solve the following system.
2x + y = 11
6x + 5y = 38 Billy and June went to the store. Billy bought 2 toothbrushes and 1 bar of soap for $11. June bought 6 toothbrushes and 5 bars of soap for $38. What is the price on one toothbrush? What is the cost of one bar of soap?
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? Farmer Ben has chickens, cows, and a really bad memory. He knows he has 22 animals and that all together they have 56 legs, but he can't remember how many he has of each type of animal. How many chickens does he have? How many cows?
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it. How many tables and chairs will the school purchase?
Our class needs to break into 12 groups. There will be 2 or 3 people in each group. We have _____ students in class today. How many groups of 2 will we have? How many groups of 3?