Solving Real-Life Linear Equations: Word Problems & Variables

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John saves $10 a week. If they want to save a total of $300 together, how many weeks will it take for them to reach their goal?

• 15 weeks

• 20 weeks

• 12 weeks

• 10 weeks

A farmer has chickens and cows. If the total number of animals is 50 and the total number of legs is 140, how many chickens and how many cows does the farmer have?

• 25 chickens and 25 cows

• 30 chickens and 20 cows

• 40 chickens and 10 cows

• 15 chickens and 35 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has twice as many stamps as Jamie. If together they have 60 stamps, how many stamps does each friend have?

• Alex has 50 stamps and Jamie has 10 stamps.

• Alex has 20 stamps and Jamie has 40 stamps.

• Alex has 40 stamps and Jamie has 20 stamps.

• Alex has 30 stamps and Jamie has 30 stamps.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 200 and the total revenue is $1,500, with fiction books priced at $10 and non-fiction at $5, how many of each type of book were sold?

• 200 fiction books and 0 non-fiction books

• 50 fiction books and 150 non-fiction books

• 150 fiction books and 50 non-fiction books

• 100 fiction books and 100 non-fiction books

In a concert, the total number of tickets sold was 300. If adult tickets cost $20 and child tickets cost $10, and the total revenue was $4,000, how many adult and child tickets were sold?

• 200 adult tickets and 100 child tickets

• 50 adult tickets and 250 child tickets

• 100 adult tickets and 200 child tickets

• 150 adult tickets and 150 child tickets

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

• 150 miles

• 200 miles

A gym has two types of memberships: a monthly membership for $30 and an annual membership for $300. If the gym has 100 members and the total revenue from memberships is $2,700, how many members have each type of membership?

• 80 monthly members and 20 annual members

• 100 monthly members and 0 annual members

• 91 monthly members and 9 annual members

• 50 monthly members and 50 annual members

A bakery sells two types of pastries: muffins for $2 each and cookies for $1 each. If they sold a total of 100 pastries for $150, how many muffins and cookies did they sell?

• 40 muffins and 60 cookies

• 50 muffins and 50 cookies

• 60 muffins and 40 cookies

• 30 muffins and 70 cookies

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and how many girls are there?

• 25 boys and 25 girls

• 35 boys and 15 girls

• 30 boys and 20 girls

• 40 boys and 10 girls