Solving Systems of Equations: Real-World Word Problems

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?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 30 weeks

• 12 weeks

• 18 weeks

• 24 weeks

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?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. Together, they have 80 cards. How many cards does each friend have?

• Alex has 70 cards and Sam has 10 cards.

• Alex has 50 cards and Sam has 30 cards.

• Alex has 40 cards and Sam has 40 cards.

• Alex has 60 cards and Sam has 20 cards.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the total revenue is $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book were sold?

• 60 fiction books and 60 non-fiction books

• 30 fiction books and 90 non-fiction books

• 0 fiction books and 120 non-fiction books

• 100 fiction books and 20 non-fiction books

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are in the class?

• 12 boys and 18 girls

• 15 boys and 15 girls

• 18 boys and 12 girls

• 20 boys and 10 girls

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?

• 200 miles

• 100 miles

• 50 miles

• 150 miles

A local gym has two types of memberships: monthly and yearly. The monthly membership costs $30, while the yearly membership costs $300. If the gym has 100 members and the total revenue is $2,700, how many members have monthly memberships?

• 100

• 90

• 80

• 70

A bakery sells muffins and cookies. If the total number of baked goods is 200 and the total revenue is $1,000, with muffins priced at $2 and cookies at $3, how many muffins and cookies were sold?

• 200 muffins and 0 cookies

• 100 muffins and 100 cookies

• 80 muffins and 120 cookies

• 150 muffins and 50 cookies

In a school, the number of students in the band is twice the number of students in the choir. If there are 60 students in total, how many students are in each group?

• 10 students in the choir and 50 students in the band.

• 30 students in the choir and 30 students in the band.

• 20 students in the choir and 40 students in the band.

• 25 students in the choir and 35 students in the band.