Mastering Variables: Solve Real-World Equation Systems

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

• 15 adult tickets and 35 student tickets

• 40 adult tickets and 10 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 $60 and Maria has $80.

• John has $50 and Maria has $70.

• John has $40 and Maria has $60.

• John has $30 and Maria has $90.

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?

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

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

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 5 novels and 5 magazines

• 6 novels and 4 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?

• 150 miles

• 50 miles

• 100 miles

• 200 miles

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

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 10 stickers and Jamie has 35 stickers.

• Alex has 20 stickers and Jamie has 25 stickers.

A restaurant sells burgers for $8 and fries for $3. If a customer orders a total of 12 items and spends $72, how many burgers and fries did they order?

• 4 burgers and 8 fries

• 10 burgers and 2 fries

• 6 burgers and 6 fries

• 8 burgers and 4 fries

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits for $24, how many apples and bananas did they buy?

• 9 apples and 6 bananas

• 7 apples and 8 bananas

• 8 apples and 7 bananas

• 10 apples and 5 bananas

A concert venue has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $12,000, how many VIP and regular tickets were sold?

• 30 VIP tickets and 170 regular tickets

• 50 VIP tickets and 150 regular tickets

• 60 VIP tickets and 140 regular tickets

• 40 VIP tickets and 160 regular tickets

A gardener is planting flowers and shrubs. The total number of plants is 40, and the number of flowers is twice the number of shrubs. How many flowers and shrubs are there?

• 10 flowers and 30 shrubs

• 20 flowers and 10 shrubs

• 30 flowers and 5 shrubs

• 15 flowers and 25 shrubs