Real-Life Systems: Solve & Interpret in Context

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sells a total of 200 tickets and makes $1500, how many adult and student tickets were sold? Interpret the solution in the context of the problem.

• 50 adult tickets and 150 student tickets were sold.

• 200 adult tickets and 0 student tickets were sold.

• 100 adult tickets and 100 student tickets were sold.

• 150 adult tickets and 50 student tickets were sold.

A farmer has a total of 120 animals consisting of cows and chickens. If cows are counted as 2 animals and chickens as 1 animal, and the total number of legs is 360, how many cows and chickens does the farmer have? Check your solution for accuracy.

• 30 cows and 60 chickens

• 20 cows and 80 chickens

• 40 cows and 40 chickens

• 10 cows and 100 chickens

A company produces two types of gadgets: Type A and Type B. Each Type A gadget costs $15 to produce and each Type B gadget costs $10. If the company produces a total of 100 gadgets and spends $1300 on production, how many of each type did they produce? Interpret the solution in context.

• 50 Type A gadgets and 50 Type B gadgets

• 70 Type A gadgets and 30 Type B gadgets

• 60 Type A gadgets and 40 Type B gadgets

• 80 Type A gadgets and 20 Type B gadgets

A bookstore sells novels for $12 each and textbooks for $20 each. If the bookstore sold a total of 50 books and earned $800, how many novels and textbooks were sold? Check your solution for accuracy.

• 25 novels and 25 textbooks

• 30 novels and 20 textbooks

• 20 novels and 30 textbooks

• 10 novels and 40 textbooks

A concert venue has a seating capacity of 500. If tickets for VIP seats are $50 and regular seats are $30, and the total revenue from ticket sales is $18,000 with 300 tickets sold, how many VIP and regular tickets were sold? Interpret the solution in context.

• 150 VIP tickets and 150 regular tickets were sold.

• 180 VIP tickets and 120 regular tickets were sold.

• 250 VIP tickets and 50 regular tickets were sold.

• 200 VIP tickets and 100 regular tickets were sold.

A local gym offers two types of memberships: monthly and yearly. The monthly membership costs $30 and the yearly membership costs $300. If the gym has a total of 200 members and collects $5,400 in membership fees, how many monthly and yearly members are there? Check your solution for accuracy.

• 150 monthly members and 50 yearly members

• 100 monthly members and 100 yearly members

• 200 monthly members and 0 yearly members

• 180 monthly members and 20 yearly members

A bakery sells two types of cakes: chocolate and vanilla. Each chocolate cake costs $25 and each vanilla cake costs $20. If the bakery sold a total of 40 cakes and made $800, how many chocolate and vanilla cakes were sold? Interpret the solution in context.

• 20 chocolate cakes and 20 vanilla cakes were sold.

• 0 chocolate cakes and 40 vanilla cakes were sold.

• 5 chocolate cakes and 35 vanilla cakes were sold.

• 10 chocolate cakes and 30 vanilla cakes were sold.

A charity event is selling two types of raffle tickets: regular and premium. Regular tickets are $10 and premium tickets are $25. If a total of 200 tickets were sold for $3,000, how many regular and premium tickets were sold? Check your solution for accuracy.

• 150 regular tickets and 50 premium tickets were sold.

• 80 regular tickets and 120 premium tickets were sold.

• 200 regular tickets and 0 premium tickets were sold.

• 100 regular tickets and 100 premium tickets were sold.

A car rental company has two types of cars: economy and luxury. The economy car rents for $30 per day and the luxury car rents for $60 per day. If the company rented a total of 50 cars and made $2,400, how many economy and luxury cars were rented? Interpret the solution in context.

• 25 economy cars and 25 luxury cars were rented.

• 20 economy cars and 30 luxury cars were rented.

• 10 economy cars and 40 luxury cars were rented.

• 15 economy cars and 35 luxury cars were rented.

A school is organizing a field trip and has two types of transportation: buses and vans. Each bus can carry 40 students and each van can carry 10 students. If the school needs to transport 300 students using a total of 8 vehicles, how many buses and vans are needed? Check your solution for accuracy.

• 6 buses and 2 vans

• 7 buses and 1 van

• 4 buses and 4 vans

• 5 buses and 3 vans