Mastering Linear Equations: Real-Life Problem Solving

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

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a new bike. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 2 weeks

• 4 weeks

• 3 weeks

• 1 week

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has 3 times as many stamps as Jamie. Together, they have 64 stamps. How many stamps does each friend have?

• Alex has 48 stamps, Jamie has 16 stamps.

• Alex has 20 stamps, Jamie has 44 stamps.

• Alex has 40 stamps, Jamie has 24 stamps.

• Alex has 32 stamps, Jamie has 32 stamps.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the total revenue is $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book were sold?

• 30 fiction books and 90 non-fiction books

• 0 fiction books and 120 non-fiction books

• 60 fiction books and 60 non-fiction books

• 15 fiction books and 105 non-fiction books

In a class, the ratio of boys to girls is 2:3. If there are 30 students in total, how many boys and girls are in the class?

• 8 boys and 22 girls

• 12 boys and 18 girls

• 10 boys and 20 girls

• 15 boys and 15 girls

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

• 200 miles

• 150 miles

• 100 miles

• 50 miles

A concert hall has two types of seating: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3,000, with regular seats priced at $10 and VIP seats at $25, how many of each type of seat were sold?

• 80 regular seats and 120 VIP seats

• 100 regular seats and 100 VIP seats

• 200 regular seats and 0 VIP seats

• 150 regular seats and 50 VIP seats

A gym offers two types of memberships: monthly and yearly. The monthly membership costs $30, and the yearly membership costs $300. If a total of 100 memberships were sold for $2,700, how many of each type were sold?

• 90 monthly and 10 yearly memberships

• 100 monthly and 0 yearly memberships

• 70 monthly and 30 yearly memberships

• 80 monthly and 20 yearly memberships

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer bought a total of 20 fruits for $50, how many apples and oranges did they buy?

• 5 apples and 15 oranges

• 15 apples and 5 oranges

• 10 apples and 10 oranges

• 12 apples and 8 oranges