7th Grade Systems of Equations: Substitution & Elimination

A farmer has chickens and cows. If the total number of animals is 30 and there are 80 legs in total, how many chickens and cows does he have? Use substitution to solve.

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

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

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

• Art clubs: 25 members, Science clubs: 25 members

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

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

A bookstore sells fiction and non-fiction books. If the total number of books is 120 and the fiction books are 20 more than the non-fiction books, how many of each type of book are there? Use substitution to solve.

• Fiction books: 50, Non-fiction books: 70

• Fiction books: 80, Non-fiction books: 40

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

• Fiction books: 70, Non-fiction books: 50

Two friends are collecting stickers. If one friend has 5 more stickers than the other and together they have 45 stickers, how many stickers does each friend have? Use elimination to solve.

• First friend: 25 stickers, Second friend: 20 stickers

• First friend: 20 stickers, Second friend: 25 stickers

• First friend: 30 stickers, Second friend: 15 stickers

• First friend: 10 stickers, Second friend: 35 stickers

A car rental company has two types of cars: sedans and SUVs. If there are 40 cars in total and the number of SUVs is twice the number of sedans, how many of each type of car are there? Use substitution to solve.

• 20 sedans and 10 SUVs

• 15 sedans and 25 SUVs

• 10 sedans and 20 SUVs

• 5 sedans and 35 SUVs

In a fruit market, there are apples and oranges. If the total number of fruits is 100 and there are 20 more apples than oranges, how many apples and oranges are there? Use elimination to solve.

• 50 apples and 50 oranges

• 60 apples and 40 oranges

• 70 apples and 30 oranges

• 40 apples and 60 oranges

A concert has two ticket prices: regular and VIP. If there are 200 tickets sold and the total revenue is $3000, with VIP tickets being $20 more than regular tickets, how many of each type of ticket were sold? Use substitution to solve.

• 150 regular tickets and 50 VIP tickets were sold.

• 200 VIP tickets and 0 regular tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 50 regular tickets and 150 VIP tickets were sold.

A pet shop has dogs and cats. If there are 50 pets in total and the number of dogs is 10 less than twice the number of cats, how many dogs and cats are there? Use elimination to solve.

• 25 dogs and 25 cats

• 40 dogs and 10 cats

• 15 dogs and 35 cats

• 30 dogs and 20 cats

A bakery sells muffins and cookies. If the total number of baked goods is 60 and there are 4 times as many cookies as muffins, how many muffins and cookies are there? Use substitution to solve.

• 20 muffins and 40 cookies

• 15 muffins and 45 cookies

• 10 muffins and 50 cookies

• 12 muffins and 48 cookies

In a library, there are fiction and non-fiction books. If the total number of books is 200 and the fiction books are 50 more than the non-fiction books, how many of each type of book are there? Use elimination to solve.

• Fiction books: 150, Non-fiction books: 50

• Fiction books: 100, Non-fiction books: 100

• Fiction books: 125, Non-fiction books: 75

• Fiction books: 80, Non-fiction books: 120