1. Mr. Ostruzka has a fantastic shoe collection. It is made up of Nikes and Adidas shoes. He has three times as many Nikes as Adidas. All together he has 36 pairs of shoes. How many of each brand does he have? 2. Ms. Jukic and Mr. Ostruzka both took a test to see who was the better mathematician. All together their scores were 364. Ms. Jukic scored eight points better than Mr. Ostruzka. What were each of their scores?
Solve each of the following systems by elimination.
3. Jessica went to CVS and bought skittles and erasers for her class. She paid $2 per pack of skittles and $1 per eraser. When she looked at her receipt she realized she spent $47 in all. When she counted the items in her CVS bag she realized she bought 33 items. How many of each item did she buy?
4. Mr. O and Ms. J are hosting a bowling party. At the party, there will be pizza and soda. They each went to the store and placed orders for the party. Mr. O bought nine pizzas and one bottle of soda for $69.50. Ms. J bought four pizzas and four bottles of soda and spent $38. What is the cost of one pizza and one bottle of soda?
Solve each system using either elimination OR substitution.
5. Kristin spent $131 on fancy shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
6. A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus holds 45 students.
7. A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
8. You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. How many hot dogs were sold and how many sodas were sold?
9. At Elisa’s Printing Company there are two kinds of printing presses; Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have?
10. You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?