Identifying Variables in Real-World Equation Problems

A local bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If the bakery made $50 from selling 30 items, how many cupcakes and cookies did they sell? Identify the variables and analyze the solution in context.

• 25 cupcakes and 5 cookies

• 10 cupcakes and 20 cookies

• 15 cupcakes and 15 cookies

• 20 cupcakes and 10 cookies

A school is organizing a field trip. The cost of a bus is $200 and the cost of a van is $100. If they need to transport 50 students for a total of $800, how many buses and vans should they rent? Identify the variables and analyze the solution in context.

• 3 buses and 1 van

• 4 buses and 0 vans

• 1 bus and 5 vans

• 2 buses and 4 vans

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week and Jamie saves $10 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal? Identify the variables and analyze the solution in context.

• 7 weeks

• 5 weeks

• 12 weeks

• 10 weeks

A farmer has chickens and cows. Each chicken produces 2 eggs a week and each cow produces 5 liters of milk a week. If the farmer produces a total of 100 eggs and liters of milk in a week, how many chickens and cows does he have? Identify the variables and analyze the solution in context.

• 25 chickens and 0 cows

• 20 chickens and 5 cows

• 15 chickens and 10 cows

• 30 chickens and 0 cows

A movie theater sells adult tickets for $12 and child tickets for $8. If they sold a total of 100 tickets for $960, how many adult and child tickets were sold? Identify the variables and analyze the solution in context.

• 20 adult tickets and 80 child tickets were sold.

• 30 adult tickets and 70 child tickets were sold.

• 50 adult tickets and 50 child tickets were sold.

• 40 adult tickets and 60 child tickets were sold.

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If they made $1,200 in total from memberships in one month, how many monthly and yearly memberships were sold? Identify the variables and analyze the solution in context.

• 40 monthly memberships and 0 yearly memberships were sold.

• 25 monthly memberships and 5 yearly memberships were sold.

• 20 monthly memberships and 10 yearly memberships were sold.

• 30 monthly memberships and 2 yearly memberships were sold.

A bookstore sells novels for $15 and magazines for $5. If they sold a total of 200 items for $2,000, how many novels and magazines did they sell? Identify the variables and analyze the solution in context.

• 100 novels and 100 magazines

• 50 novels and 150 magazines

• 200 novels and 0 magazines

• 150 novels and 50 magazines

A car rental company has two types of cars: economy cars for $30 per day and luxury cars for $60 per day. If they rented out a total of 15 cars for $720 in one day, how many economy and luxury cars were rented? Identify the variables and analyze the solution in context.

• 10 economy cars and 5 luxury cars were rented.

• 7 economy cars and 8 luxury cars were rented.

• 5 economy cars and 10 luxury cars were rented.

• 6 economy cars and 9 luxury cars were rented.

A pet store sells fish for $5 each and birds for $15 each. If they sold a total of 40 animals for $400, how many fish and birds did they sell? Identify the variables and analyze the solution in context.

• 20 fish and 20 birds

• 10 fish and 30 birds

• 30 fish and 10 birds

• 25 fish and 15 birds