Systems by Elimination Worksheets Grade 8

1. Mere is helping to organize the school's annual sports day and needs to buy two types of medals: gold and silver. Gold medals cost $8 each and silver medals cost $4 each. She has a budget of $200 for medals, and she needs exactly 40 medals in total to award all the winners. How many gold medals and how many silver medals should Mere buy to spend exactly her budget and get the right number of medals?
2. Emma is planning a community garden and needs to buy soil and compost. A bag of soil costs $4 and a bag of compost costs $6. She needs a total of 25 bags to fill all the garden beds. Her budget for materials is $130. How many bags of soil and how many bags of compost should Emma buy to use exactly her budget and get the right number of bags?
3. A triangular garden is drawn on a coordinate plane with vertices at (0,0), (6,0), and (3,4). A second triangle is drawn with vertices at (0,0), (9,0), and (4.5,6). Are these triangles similar? If so, what is the scale factor from the first triangle to the second?

…and 4 more problems

1. 2x + 3y = 12; 2x - y = 4
2. Emma is planning a science fair project and needs to mix two chemical solutions. Solution A contains 15% salt and Solution B contains 40% salt. She wants to create 500 milliliters of a mixture that is 25% salt. How many milliliters of each solution should Emma use?
3. Liam is planning a school fundraiser and needs to determine how many student tickets and adult tickets were sold. The total number of tickets sold was 120. Student tickets cost $3 each, adult tickets cost $5 each, and the total amount collected was $500. How many student tickets and how many adult tickets were sold?

…and 4 more problems

1. Emma is planning a science club field trip to the planetarium and museum. The planetarium charges $12 per student and $15 per adult, while the museum charges $8 per student and $10 per adult. For their group of 25 people, the total cost for the planetarium would be $285, and for the museum it would be $200. How many students and how many adults are in Emma's science club?
2. Liam is planning a school fundraiser and needs to determine how many student tickets and adult tickets were sold. The total number of tickets sold was 120. The price for a student ticket is $3 and for an adult ticket is $5. If the total revenue collected was $500, how many student tickets and how many adult tickets were sold?
3. Liam is planning a school fundraiser and needs to determine how many student tickets and adult tickets were sold. The school sold tickets for $3 per student and $5 per adult. They sold a total of 120 tickets and collected $440. How many student tickets and how many adult tickets were sold?

…and 4 more problems