Contextualizing Systems of Equations: Identify & Analyze

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold? Identify the variables and analyze the solution in context.

• 30 adult tickets and 20 student tickets were sold.

• 40 adult tickets and 10 student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have? Define the variables and explain the solution's significance.

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If they want to save a total of $150 together, how many weeks will it take? Identify the variables and discuss the context of their savings.

• 5 weeks

• 7 weeks

• 8 weeks

• 6 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive? Define the variables and analyze the implications of the solution.

• 120 miles

• 80 miles

• 100 miles

• 150 miles

A local bakery sells muffins for $2 each and cookies for $3 each. If they sold 100 items for a total of $240, how many muffins and cookies were sold? Identify the variables and contextualize the solution.

• 70 muffins and 30 cookies

• 60 muffins and 40 cookies

• 80 muffins and 20 cookies

• 50 muffins and 50 cookies

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there? Define the variables and analyze the context of the solution.

• 20 boys and 40 girls

• There are 40 boys and 20 girls.

• 30 boys and 30 girls

• 50 boys and 10 girls

A gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $100. If a customer wants to spend $200, which plan is more economical? Identify the variables and discuss the solution's context.

• Both plans cost the same.

• Plan B is more economical.

• Plan B has a lower one-time fee.

• Plan A is more economical.

A bookstore sells novels for $12 and magazines for $5. If a customer buys 10 items for a total of $90, how many novels and magazines did they buy? Define the variables and analyze the solution in context.

• 4 novels and 6 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 6 novels and 4 magazines

A concert hall has two types of seating: regular seats for $50 and VIP seats for $100. If they sold 200 seats for a total of $12,000, how many of each type were sold? Identify the variables and contextualize the solution.

• 180 regular seats and 20 VIP seats were sold.

• 150 regular seats and 50 VIP seats were sold.

• 160 regular seats and 40 VIP seats were sold.

• 100 regular seats and 100 VIP seats were sold.

A pizza shop sells small pizzas for $8 and large pizzas for $12. If they sold 30 pizzas for a total of $240, how many small and large pizzas were sold? Define the variables and analyze the implications of the solution.

• 10 small pizzas and 20 large pizzas

• 30 small pizzas and 0 large pizzas

• 15 small pizzas and 15 large pizzas

• 5 small pizzas and 25 large pizzas