Systems by Elimination Worksheets Grade 8

1. Liam is planning a school fundraiser and needs to figure out how many chocolate bars and bags of popcorn to sell. He knows that chocolate bars sell for $2 each and popcorn bags sell for $3 each. His goal is to raise exactly $120. However, he also has a limit on the total number of items he can sell, which is 50. How many chocolate bars and how many bags of popcorn must Liam sell to meet both his revenue goal and his item limit?
2. 3x + 2y = 17; 5x - 2y = 7
3. 3x + 2y = 19; 5x - 2y = 25

…and 4 more problems

1. 3x + 2y = 19; 5x - 2y = 17
2. Isabella draws a rectangle on a coordinate grid with vertices at (8, 12), (8, 20), (18, 20), and (18, 12). She then draws a diagonal from (8, 12) to (18, 20). What is the length of this diagonal? (Round to the nearest tenth if needed.)
3. 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?

…and 4 more problems

1. 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?
2. Liam is organizing a school fundraiser and needs to determine how many adult tickets and student tickets were sold. The total number of tickets sold was 120. Adult tickets cost $8 each, student tickets cost $5 each, and the total revenue collected was $780. How many adult tickets and how many student tickets were sold?
3. Olivia is organizing a school bake sale and selling two types of items: cupcakes and cookies. A cupcake costs $3 and a cookie costs $1. On the first day, she sold a total of 45 items and collected $87. How many cupcakes and how many cookies did Olivia sell? Write your answer as an ordered pair (cupcakes, cookies).

…and 4 more problems