7th Grade Systems of Equations: Solve by Substitution & Elimination

A farmer has chickens and cows. If the total number of animals is 30 and there are 10 more chickens than cows, how many chickens and cows does the farmer have? Use substitution to solve.

• 5 cows and 25 chickens

• 10 cows and 20 chickens

• 12 cows and 18 chickens

• 15 cows and 15 chickens

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? Use elimination to solve.

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

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

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

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

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

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

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

• Fiction books: 100, Non-fiction books: 20

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

A concert hall has two types of seating: regular and VIP. If there are 200 seats in total and the number of VIP seats is 30 less than twice the number of regular seats, how many regular and VIP seats are there? Use elimination to solve.

• Regular seats: 76, VIP seats: 122

• Regular seats: 100, VIP seats: 100

• Regular seats: 50, VIP seats: 150

• Regular seats: 80, VIP seats: 120

A pet store has dogs and cats. If there are 40 pets in total and the number of dogs is 5 more than the number of cats, how many dogs and cats are there? Use substitution to solve.

• 25 dogs and 15 cats

• 20 dogs and 20 cats

• 30 dogs and 10 cats

• 15 dogs and 25 cats

In a fruit market, apples and oranges are sold. If there are 60 fruits in total and the number of apples is 10 more than the number of oranges, how many apples and oranges are there? Use elimination to solve.

• 35 apples and 25 oranges

• 25 apples and 35 oranges

• 40 apples and 20 oranges

• 30 apples and 30 oranges

A bakery sells cupcakes and cookies. If the total number of baked goods is 80 and there are 20 more cupcakes than cookies, how many cupcakes and cookies are there? Use substitution to solve.

• 40 cookies and 40 cupcakes

• 35 cookies and 45 cupcakes

• 25 cookies and 55 cupcakes

• 30 cookies and 50 cupcakes

A sports team has players from two different grades. If there are 25 players in total and the number of players from grade 8 is 5 more than the number of players from grade 7, how many players are from each grade? Use elimination to solve.

• Grade 7: 8 players, Grade 8: 17 players

• Grade 7: 10 players, Grade 8: 15 players

• Grade 7: 5 players, Grade 8: 20 players

• Grade 7: 12 players, Grade 8: 13 players

A toy store has action figures and dolls. If there are 90 toys in total and the number of action figures is 15 less than three times the number of dolls, how many action figures and dolls are there? Use substitution to solve.

• 75 action figures and 30 dolls

• 45 action figures and 45 dolls

• 60 action figures and 30 dolls

• 90 action figures and 0 dolls

A garden has roses and tulips. If there are 50 flowers in total and the number of roses is 10 more than the number of tulips, how many roses and tulips are there? Use elimination to solve.

• Roses: 25, Tulips: 25

• Roses: 30, Tulips: 20

• Roses: 20, Tulips: 30

• Roses: 40, Tulips: 10