Solving Two-Variable Equations: Real-World Scenarios

A school is selling tickets for a concert. Adult tickets cost $15 and student tickets cost $10. If the total revenue from selling 50 tickets is $600, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 15 adult tickets and 35 student tickets

• 20 adult tickets and 30 student tickets

• 10 adult tickets and 40 student tickets

Maria has a total of 30 coins consisting of dimes and quarters. If the total value of the coins is $5.50, how many dimes and quarters does she have?

• 10 dimes and 20 quarters

• 15 dimes and 15 quarters

• 5 dimes and 25 quarters

• 13 dimes and 17 quarters

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 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 10 items for $80, how many novels and magazines did they buy?

• 2 novels and 8 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 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?

• 100 miles

• 50 miles

• 200 miles

• 150 miles

A class is planning a field trip. The cost of the bus is $200 and each student pays $10. If there are 30 students, how much money will be left after paying for the bus?

• $200

• $150

• $100

• $50

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, how many cupcakes and cookies did they buy?

• 5 cupcakes and 10 cookies

• 6 cupcakes and 9 cookies

• 7 cupcakes and 8 cookies

• 4 cupcakes and 11 cookies

In a gym, the membership fee is $30 per month and personal training sessions cost $20 each. If a member spends a total of $150 in one month, how many training sessions did they purchase?

• 6

• 10

• 8

• 4

A movie theater sells popcorn for $5 and soda for $3. If a family buys a total of 8 snacks for $34, how many popcorns and sodas did they buy?

• 5 popcorns and 3 sodas

• 4 popcorns and 4 sodas

• 6 popcorns and 2 sodas

• 3 popcorns and 5 sodas

A gardener is planting flowers and shrubs. If the total number of plants is 40 and the total cost is $200, with flowers costing $4 each and shrubs costing $10 each, how many flowers and shrubs did the gardener plant?

• 10 flowers and 30 shrubs

• 30 flowers and 10 shrubs

• 20 flowers and 20 shrubs

• 25 flowers and 15 shrubs