Systems Word Problems Worksheets Grade 8

1. Matiu and Mere together have $124. Matiu has $16 more than twice the amount Mere has. How much money does each person have?
2. Liam is planning a school fundraiser and needs to figure out how many boxes of cookies and candy bars to sell. He knows that cookies sell for $3 per box and candy bars sell for $2 each. His goal is to raise exactly $120. He also has a limit on storage space and can only hold a total of 50 items. How many boxes of cookies and how many candy bars should Liam plan to sell?
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (0,8). A line is drawn from the vertex at (0,8) perpendicular to the hypotenuse, meeting it at point P. Visualize this right triangle and the perpendicular line creating two smaller right triangles within the original triangle. What is the length of the perpendicular segment from (0,8) to point P?

…and 4 more problems

1. Aroha and Tane are selling tickets for a school play. Adult tickets cost $9 each and student tickets cost $5 each. They sold 117 tickets in total and collected $789. How many adult tickets and how many student tickets were sold?
2. Isabella and Mason together have 72 comic books. If Isabella gives 7 comic books to Mason, she will have twice as many comic books as Mason. How many comic books does each person have originally?
3. 2x + 3y = 16 and 4x - y = 10, find x and y

…and 5 more problems

1. Olivia is organizing the school's book fair. She has two types of bookmarks to sell: small bookmarks cost $2 each and large bookmarks cost $5 each. Olivia sells a total of 60 bookmarks and collects $210 in sales. How many small bookmarks and how many large bookmarks did Olivia sell?
2. 2x + 3y = 19 and 5x - 2y = 14, find x and y
3. Emma is organizing a school bake sale. She sells cupcakes for $2 each and brownies for $3 each. She sold a total of 70 items and raised $180. How many cupcakes and how many brownies did Emma sell?

…and 4 more problems