Linear Equations in Real Life: Solve and Interpret

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 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?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie, and together they have $120. How much money does each friend have?

• Alex has $50, Jamie has $70.

• Alex has $80, Jamie has $40.

• Alex has $60, Jamie has $60.

• Alex has $70, Jamie has $50.

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 30 items for $20, how many pencils and erasers did they buy?

• 10 pencils and 20 erasers

• 20 pencils and 10 erasers

• 25 pencils and 5 erasers

• 15 pencils and 15 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?

• 15 boys and 10 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

• 20 boys and 5 girls

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

• 50 miles

• 75 miles

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 15 items for $24, how many muffins and cookies did they buy?

• 9 muffins and 6 cookies

• 7 muffins and 8 cookies

• 8 muffins and 7 cookies

• 10 muffins and 5 cookies

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 200 seats were sold for a total of $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

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

A bookstore sells novels for $15 each and magazines for $5 each. If a customer bought a total of 10 items for $90, how many novels and magazines did they buy?

• 2 novels and 8 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 4 novels and 6 magazines

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, and a yearly membership costs $300. If 50 memberships were sold for a total of $1,500, how many monthly and yearly memberships were sold?

• 25 monthly memberships and 25 yearly memberships

• 50 monthly memberships and 0 yearly memberships

• 0 monthly memberships and 50 yearly memberships

• 30 monthly memberships and 20 yearly memberships