Solving Real-Life Problems: Linear Equations with Substitution

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

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 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 they both save for the same number of weeks and together they save $150, how many weeks did they save?

• 6 weeks

• 7 weeks

• 8 weeks

• 5 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?

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 20 items and spends $50, how many pencils and erasers did the customer buy?

• 5 pencils and 15 erasers

• 12 pencils and 8 erasers

• 15 pencils and 5 erasers

• 10 pencils and 10 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?

• 10 boys and 15 girls

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70 for a rental, how many miles did they drive?

• 150 miles

• 50 miles

• 100 miles

• 200 miles

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 30 items and spends $50, how many muffins and cookies did they buy?

• 15 muffins and 15 cookies

• 25 muffins and 5 cookies

• 20 muffins and 10 cookies

• 10 muffins and 20 cookies

Two types of fruit are being sold at a market: apples and oranges. If apples cost $1 each and oranges cost $0.50 each, and a customer buys a total of 40 fruits for $25, how many apples and oranges did they buy?

• 5 apples and 35 oranges

• 15 apples and 25 oranges

• 10 apples and 30 oranges

• 20 apples and 20 oranges

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a customer buys a total of 12 memberships and spends $840, how many monthly and yearly memberships did they buy?

• 10 monthly memberships and 2 yearly memberships

• 12 monthly memberships and 0 yearly memberships

• 6 monthly memberships and 6 yearly memberships

• 8 monthly memberships and 4 yearly memberships

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 10 books and spends $200, how many novels and textbooks did they buy?

• 3 novels and 7 textbooks

• 5 novels and 5 textbooks

• 6 novels and 4 textbooks

• 4 novels and 6 textbooks