Solving Problems Involving Linear Systems
Set up and solve a linear system for the of the following question. Use ‘let’ statements to define the variables you will be using.
Show ALL of your work
11. Lukas is selling baseball caps to raise money for his school. The supplier charges a $110 design fee plus $4 per hat. Lukas wants to sell the hats for $8 each. How many hats does Lukas need to sell in order to break even?
2. Kyle was selling tickets to the school volleyball game. Student seats cost $4 and adult seats cost $9. Kyle sold $528 worth of tickets and there were 15 more student tickets sold than adult. How many of each ticket were sold?
3. You are running a bake sale. You plan on selling cookies and brownies. The price of one cookie is $0.50 and the price of one brownie is $1. You sell a total of 128 baked goods and make a total of $78.50. How many cookies and brownies did you sell?
4. Mar and Kyle work together at their pop-up shop to raise money for a new computer. Mar sells chips for $5 per bag and Kyle sells cookies for $3 per bag. At the end of the day, they raise a total of $647 by selling a total of 165 snacks. How many chips and cookies were sold?
5. M&M Food Market charges a fee of $20 per month plus $4 per visit. Home Hardware charges $25 per month plus $3 per visit. For how many visits per month is the total cost the same for both stores?
Solving Problems Involving Linear Systems
Set up and solve a linear system for the of the following question. Use ‘let’ statements to define the variables you will be using.
Show ALL of your work
11. Lukas is selling baseball caps to raise money for his school. The supplier charges a $110 design fee plus $4 per hat. Lukas wants to sell the hats for $8 each. How many hats does Lukas need to sell in order to break even?
2. Kyle was selling tickets to the school volleyball game. Student seats cost $4 and adult seats cost $9. Kyle sold $528 worth of tickets and there were 15 more student tickets sold than adult. How many of each ticket were sold?
3. You are running a bake sale. You plan on selling cookies and brownies. The price of one cookie is $0.50 and the price of one brownie is $1. You sell a total of 128 baked goods and make a total of $78.50. How many cookies and brownies did you sell?
4. Mar and Kyle work together at their pop-up shop to raise money for a new computer. Mar sells chips for $5 per bag and Kyle sells cookies for $3 per bag. At the end of the day, they raise a total of $647 by selling a total of 165 snacks. How many chips and cookies were sold?
5. M&M Food Market charges a fee of $20 per month plus $4 per visit. Home Hardware charges $25 per month plus $3 per visit. For how many visits per month is the total cost the same for both stores?
