Word Problems: Solving Systems with Elimination Method

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 of each type of ticket did they sell?

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

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

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If together they want to save $200, how many weeks will it take for them to reach their goal?

• 10 weeks

• 6 weeks

• 8 weeks

• 12 weeks

A bookstore sells fiction and non-fiction books. If the total number of books sold is 80 and the total revenue is $600, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 30 fiction books and 50 non-fiction books

• 20 fiction books and 60 non-fiction books

• 40 fiction books and 40 non-fiction books

• 50 fiction books and 30 non-fiction books

In a class, there are boys and girls. If there are 30 students in total and the number of girls is twice the number of boys, how many boys and girls are in the class?

• 15 boys and 15 girls

• 10 boys and 20 girls

• 12 boys and 18 girls

• 5 boys and 25 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

• 50 miles

• 150 miles

• 100 miles

A local gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 100 memberships were sold for a total of $2400, how many of each type of membership were sold?

• 90 monthly memberships and 10 yearly memberships

• 80 monthly memberships and 20 yearly memberships

• 70 monthly memberships and 30 yearly memberships

• 50 monthly memberships and 50 yearly memberships

A bakery sells muffins and cookies. If they sold 150 items in total and made $450, with muffins priced at $3 and cookies at $2, how many muffins and cookies did they sell?

• 120 muffins and 30 cookies

• 100 muffins and 50 cookies

• 80 muffins and 70 cookies

• 60 muffins and 90 cookies

A concert venue has two types of seating: regular seats for $25 and VIP seats for $50. If they sold 200 seats for a total of $8000, how many regular and VIP seats were sold?

• 90 regular seats and 110 VIP seats

• 50 regular seats and 150 VIP seats

• 80 regular seats and 120 VIP seats

• 100 regular seats and 100 VIP seats

A pet store has dogs and cats. If there are 40 pets in total and the number of dogs is three times the number of cats, how many dogs and cats are there?

• 30 dogs and 10 cats

• 20 dogs and 20 cats

• 25 dogs and 15 cats

• 35 dogs and 5 cats