Solving Real-Life Linear Equations with Graphs

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?

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

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?

• 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 together they want to save $150, how many weeks will it take them to reach their goal?

• 10 weeks

• 6 weeks

• 5 weeks

• 8 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?

• 120 miles

• 100 miles

• 50 miles

• 75 miles

A store sells pencils for $2 each and erasers for $3 each. If a student bought a total of 10 items for $24, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are in the class?

• 20 boys and 5 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

A bakery sells muffins for $2 each and cookies for $1 each. If a customer bought a total of 12 items for $20, how many muffins and cookies did they buy?

• 10 muffins and 2 cookies

• 8 muffins and 4 cookies

• 5 muffins and 7 cookies

• 6 muffins and 6 cookies

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $60. If a customer wants to spend $120, how many months can they afford each plan?

• Plan A: 3 months, Plan B: 4 months

• Plan A: 4 months, Plan B: 3 months

• Plan A: 2 months, Plan B: 5 months

• Plan A: 5 months, Plan B: 2 months

A bookstore sells novels for $15 and magazines for $5. If a customer bought a total of 8 items for $90, how many novels and magazines did they buy?

• 6 novels and 2 magazines

• 5 novels and 3 magazines

• 3 novels and 5 magazines

• 4 novels and 4 magazines

A concert venue has two types of seating: regular seats for $50 and VIP seats for $100. If a total of 100 seats were sold for $7000, how many regular and VIP seats were sold?

• 50 regular seats and 50 VIP seats

• 80 regular seats and 20 VIP seats

• 60 regular seats and 40 VIP seats

• 70 regular seats and 30 VIP seats