Solving Real-World Linear Equations and Interpreting Solutions

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 each week, while Jamie saves $10 each week. If they want to save a total of $300 together, how many weeks will it take for them to reach their goal?

• 20 weeks

• 15 weeks

• 12 weeks

• 10 weeks

A farmer has chickens and cows. If the total number of animals is 50 and there are 150 legs in total, how many chickens and how many cows does the farmer have?

• 10 chickens and 40 cows

• 25 chickens and 25 cows

• 30 chickens and 20 cows

• 20 chickens and 30 cows

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 120 miles

• 100 miles

• 75 miles

• 50 miles

In a bookstore, the price of a novel is $12 and the price of a magazine is $5. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 2 novels and 8 magazines

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend a total of $200, how many months can they afford each plan?

• Plan A: 6 months, Plan B: 8 months

• Plan A: 8 months, Plan B: 10 months

• Plan A: 5 months, Plan B: 12 months

• Plan A: 10 months, Plan B: 7 months

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from 200 seats sold is $12,000, how many of each type of seat were sold?

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

A bakery sells two types of cakes: chocolate and vanilla. A chocolate cake costs $20, and a vanilla cake costs $15. If the bakery sold a total of 30 cakes for $500, how many of each type of cake did they sell?

• 20 chocolate cakes and 10 vanilla cakes

• 5 chocolate cakes and 25 vanilla cakes

• 10 chocolate cakes and 20 vanilla cakes

• 15 chocolate cakes and 15 vanilla cakes

A company produces two types of gadgets: Type A and Type B. Type A costs $40 to produce, and Type B costs $60. If the company produced a total of 100 gadgets and spent $4,000, how many of each type did they produce?

• 0 Type A gadgets and 100 Type B gadgets

• 80 Type A gadgets and 20 Type B gadgets

• 100 Type A gadgets and 0 Type B gadgets

• 50 Type A gadgets and 50 Type B gadgets

A school is organizing a field trip. The cost for a student is $25, and for a chaperone, it is $15. If they collected a total of $1,000 from 50 participants, how many students and chaperones attended?

• 25 students and 25 chaperones

• 40 students and 10 chaperones

• 20 students and 30 chaperones

• 30 students and 20 chaperones