Real-World Linear Equations: Solve and Interpret Solutions

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?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 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 Alex has saved $60 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 10 weeks

• 8 weeks

• 15 weeks

• 12 weeks

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

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 8 items for $66, how many novels and magazines did they buy?

• 4 novels and 4 magazines

• 1 novel and 7 magazines

• 2 novels and 6 magazines

• 3 novels and 5 magazines

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

• 150 miles

• 50 miles

• 100 miles

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 paid a total of $120, which plan did they choose and how many months did they sign up for?

• Plan B for 4 months

• Plan A for 2 months

• Plan B for 3 months

• Plan A for 4 months

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer bought a total of 20 items and spent $54, how many cupcakes and cookies did they buy?

• 14 cupcakes and 6 cookies

• 10 cupcakes and 10 cookies

• 12 cupcakes and 8 cookies

• 16 cupcakes and 4 cookies

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer bought a total of 15 fruits for $26, how many apples and bananas did they purchase?

• 12 apples and 3 bananas

• 10 apples and 5 bananas

• 11 apples and 4 bananas

• 9 apples and 6 bananas

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If a total of 100 seats were sold for $3500, how many regular and VIP seats were sold?

• 70 regular seats and 30 VIP seats

• 80 regular seats and 20 VIP seats

• 60 regular seats and 40 VIP seats

• 50 regular seats and 50 VIP seats

A charity event sold tickets for $20 each and received a total of $800 from ticket sales. If they sold 10 more tickets than the number of volunteers, how many tickets were sold and how many volunteers were there?

• 30 tickets sold and 20 volunteers.

• 40 tickets sold and 30 volunteers.

• 35 tickets sold and 25 volunteers.

• 50 tickets sold and 40 volunteers.