Real-Life Linear Equations: Set Up & Solve Problems

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

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

Maria and John are saving money for a new bike. Maria has $30 and saves $5 each week, while John has $20 and saves $10 each week. How many weeks will it take for them to have the same amount of money?

• 1 week

• 4 weeks

• 3 weeks

• 2 weeks

A farmer has chickens and cows. If there are a total of 50 animals and 140 legs, how many chickens and how many cows does the farmer have?

• 25 chickens and 25 cows

• 15 chickens and 35 cows

• 30 chickens and 20 cows

• 40 chickens and 10 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. Together, they have 80 cards. How many cards does each friend have?

• Alex has 40 cards and Sam has 40 cards.

• Alex has 50 cards and Sam has 30 cards.

• Alex has 70 cards and Sam has 10 cards.

• Alex has 60 cards and Sam has 20 cards.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 200 and the total revenue is $1,500, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 150 fiction books and 50 non-fiction books

• 50 fiction books and 150 non-fiction books

• 200 fiction books and 0 non-fiction books

• 100 fiction books and 100 non-fiction books

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

• 15 boys and 10 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

• 20 boys and 5 girls

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 200 miles

• 100 miles

• 50 miles

• 150 miles

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 and VIP seats cost $100. If the total revenue from 300 seats sold was $20,000, how many regular and VIP seats were sold?

• 100 regular seats and 200 VIP seats

• 150 regular seats and 150 VIP seats

• 200 regular seats and 100 VIP seats

• 250 regular seats and 50 VIP seats

A gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $100. If a customer wants to spend a total of $220, which plan should they choose and for how many months?

• Plan B for 10 months

• Plan B for 5 months

• Plan A for 6 months

• Plan A for 7 months