Identifying Variables and Equations in Real-World Scenarios

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

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a new bike. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $50 and Maria has $70.

• John has $30 and Maria has $90.

• John has $60 and Maria has $80.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 5 more cards than Sam. Together, they have 45 cards. How many cards does each friend have?

• Alex has 10 cards and Sam has 35 cards.

• Alex has 20 cards and Sam has 25 cards.

• Alex has 30 cards and Sam has 15 cards.

• Alex has 25 cards and Sam has 20 cards.

In a bookstore, a novel costs $15 and a magazine costs $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

• 3 novels and 7 magazines

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?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

A concert sold 200 tickets, with adult tickets priced at $25 and child tickets at $15. If the total revenue was $4000, how many adult and child tickets were sold?

• 200 adult tickets and 0 child tickets

• 150 adult tickets and 50 child tickets

• 100 adult tickets and 100 child tickets

• 50 adult tickets and 150 child tickets

Lisa and Tom are running a lemonade stand. Lisa sells her lemonade for $2 per cup, and Tom sells his for $3 per cup. If they made a total of $60 from selling 30 cups, how many cups did each sell?

• Lisa sold 10 cups and Tom sold 20 cups.

• Lisa sold 30 cups and Tom sold 0 cups.

• Lisa sold 20 cups and Tom sold 10 cups.

• Lisa sold 15 cups and Tom sold 15 cups.

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, and a yearly membership costs $300. If the gym has 100 members and makes $2400 in a month, how many monthly and yearly memberships are there?

• 50 monthly and 50 yearly memberships

• 100 monthly and 0 yearly memberships

• 92 monthly and 8 yearly memberships

• 80 monthly and 20 yearly memberships

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 50 fruits for $80, how many apples and bananas did they buy?

• 25 apples and 25 bananas

• 40 apples and 10 bananas

• 20 apples and 30 bananas

• 30 apples and 20 bananas