Solving Word Problems: Find Variables and Constants

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 how many cows does the farmer have?

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

In a school, there are two types of clubs: the art club and the science club. If there are 50 students in total and the art club has 10 more members than the science club, how many members are in each club?

• Art club: 25 members, Science club: 25 members

• Art club: 40 members, Science club: 10 members

• Art club: 20 members, Science club: 30 members

• Art club: 30 members, Science club: 20 members

A bookstore sells fiction and non-fiction books. If the total number of books is 120 and the fiction books are twice the number of non-fiction books, how many of each type of book does the bookstore have?

• Fiction: 100, Non-Fiction: 20

• Fiction: 80, Non-Fiction: 40

• Fiction: 60, Non-Fiction: 60

• Fiction: 40, Non-Fiction: 80

Two friends, Alex and Jamie, are collecting stamps. Alex has 5 more stamps than Jamie, and together they have 45 stamps. How many stamps does each friend have?

• Alex has 30 stamps and Jamie has 15 stamps.

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 20 stamps and Jamie has 25 stamps.

• Alex has 10 stamps and Jamie has 35 stamps.

A concert hall has two types of seating: regular and VIP. If there are 200 seats in total and the VIP seats are 50 more than the regular seats, how many of each type of seat are there?

• 100 regular seats and 100 VIP seats

• 75 regular seats and 125 VIP seats

• 50 regular seats and 150 VIP seats

• 80 regular seats and 120 VIP seats

In a fruit market, the number of apples is three times the number of oranges. If there are 64 fruits in total, how many apples and how many oranges are there?

• 48 apples and 16 oranges

• 32 apples and 32 oranges

• 56 apples and 8 oranges

• 40 apples and 24 oranges

A car rental company has two types of cars: sedans and SUVs. If the total number of cars is 80 and the number of SUVs is 20 less than twice the number of sedans, how many of each type of car does the company have?

• 10 sedans and 70 SUVs

• 25 sedans and 55 SUVs

• 40 sedans and 20 SUVs

• 30 sedans and 40 SUVs

A bakery sells two types of pastries: muffins and croissants. If the total number of pastries is 60 and the muffins are 10 more than the croissants, how many muffins and how many croissants are there?

• 30 muffins and 30 croissants

• 35 muffins and 25 croissants

• 25 muffins and 35 croissants

• 40 muffins and 20 croissants

In a library, the number of fiction books is 4 times the number of non-fiction books. If there are 100 books in total, how many fiction and non-fiction books are there?

• Fiction books: 50, Non-fiction books: 50

• Fiction books: 80, Non-fiction books: 20

• Fiction books: 60, Non-fiction books: 40

• Fiction books: 70, Non-fiction books: 30

A sports team has two types of players: forwards and defenders. If the total number of players is 22 and the number of forwards is 2 more than twice the number of defenders, how many forwards and defenders are on the team?

• 12 forwards and 10 defenders

• 10 forwards and 12 defenders

• 16 forwards and 6 defenders

• 14 forwards and 8 defenders