Solving Linear Equations: Animal & Club Conundrums

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?

• 15 cows and 15 chickens

• 20 cows and 10 chickens

• 10 cows and 20 chickens

• 5 cows and 25 chickens

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

• 10 students in science clubs and 40 students in art clubs.

• 15 students in science clubs and 35 students in art clubs.

• 20 students in science clubs and 30 students in art clubs.

• 25 students in science clubs and 25 students in art clubs.

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?

• 40 non-fiction books and 80 fiction books

• 50 non-fiction books and 70 fiction books

• 30 non-fiction books and 90 fiction books

• 60 non-fiction books and 60 fiction books

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

• Alex has 10 stickers and Jamie has 35 stickers.

• Alex has 20 stickers and Jamie has 25 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

A car rental company has two types of cars: sedans and SUVs. If there are 40 cars in total and there are 10 more sedans than SUVs, how many sedans and SUVs does the company have?

• 15 SUVs and 25 sedans

• 5 SUVs and 35 sedans

• 10 SUVs and 30 sedans

• 20 SUVs and 20 sedans

In a fruit market, there are apples and oranges. If the total number of fruits is 80 and there are 20 more apples than oranges, how many apples and oranges are there?

• 40 apples and 40 oranges

• 50 apples and 30 oranges

• 60 apples and 20 oranges

• 30 apples and 50 oranges

A concert has two types of tickets: general admission and VIP. If there are 200 tickets sold and there are 50 more general admission tickets than VIP tickets, how many of each type of ticket were sold?

• VIP tickets: 50, General admission tickets: 150

• VIP tickets: 75, General admission tickets: 125

• VIP tickets: 100, General admission tickets: 100

• VIP tickets: 80, General admission tickets: 120

A pet shop has dogs and cats. If the total number of pets is 25 and there are 5 more dogs than cats, how many dogs and cats are in the shop?

• 5 cats and 20 dogs

• 8 cats and 17 dogs

• 10 cats and 15 dogs

• 12 cats and 13 dogs

In a library, there are fiction and non-fiction books. If there are 300 books in total and there are 100 more fiction books than non-fiction books, how many of each type of book are there?

• Fiction: 200, Non-Fiction: 100

• Fiction: 250, Non-Fiction: 50

• Fiction: 150, Non-Fiction: 150

• Fiction: 300, Non-Fiction: 0

A bakery sells cupcakes and cookies. If the total number of baked goods is 60 and there are 10 more cupcakes than cookies, how many cupcakes and cookies does the bakery sell?

• 20 cookies and 40 cupcakes

• 25 cookies and 35 cupcakes

• 30 cookies and 30 cupcakes

• 15 cookies and 45 cupcakes