Solving Word Problems with Systems of Equations

A farmer has chickens, cows, and pigs. The total number of animals is 50. The number of cows is twice the number of pigs, and the number of chickens is 10 less than the number of cows. How many of each type of animal does the farmer have?

• Chickens: 18, Cows: 22, Pigs: 10

• Chickens: 5, Cows: 30, Pigs: 15

• Chickens: 14, Cows: 24, Pigs: 12

• Chickens: 20, Cows: 10, Pigs: 20

In a school, there are students enrolled in three different clubs: the Science Club, the Art Club, and the Sports Club. The total number of students is 120. The number of students in the Art Club is 10 more than twice the number in the Science Club, and the number in the Sports Club is 5 less than the number in the Art Club. How many students are in each club?

• Science Club: 30, Art Club: 50, Sports Club: 40

• Science Club: 25, Art Club: 45, Sports Club: 50

• Science Club: 21, Art Club: 52, Sports Club: 47

• Science Club: 20, Art Club: 60, Sports Club: 40

A bookstore sells three types of books: fiction, non-fiction, and children's books. The total number of books sold in a week is 200. The number of fiction books sold is 30 more than the number of children's books, and the number of non-fiction books sold is 10 less than twice the number of children's books. How many of each type of book were sold?

• Fiction: 80, Non-Fiction: 70, Children's: 50

• Fiction: 60, Non-Fiction: 90, Children's: 50

• Fiction: 75, Non-Fiction: 80, Children's: 45

• Fiction: 50, Non-Fiction: 100, Children's: 50

A concert has three types of tickets: VIP, Regular, and Student. The total number of tickets sold is 300. The number of Regular tickets sold is 50 more than the number of Student tickets, and the number of VIP tickets sold is 20 less than the number of Regular tickets. How many tickets of each type were sold?

• Student: 100, Regular: 150, VIP: 50

• Student: 90, Regular: 140, VIP: 100

• Student: 80, Regular: 130, VIP: 110

• Student: 70, Regular: 120, VIP: 110

In a fruit market, there are apples, bananas, and oranges. The total number of fruits is 150. The number of bananas is 20 more than the number of apples, and the number of oranges is 10 less than the number of bananas. How many of each type of fruit are there?

• Apples: 40, Bananas: 60, Oranges: 50

• Apples: 45, Bananas: 55, Oranges: 60

• Apples: 30, Bananas: 50, Oranges: 70

• Apples: 50, Bananas: 40, Oranges: 60

A factory produces three types of toys: dolls, cars, and puzzles. The total production in a day is 500 toys. The number of dolls produced is 100 more than the number of cars, and the number of puzzles produced is half the number of dolls. How many toys of each type are produced?

• Dolls: 150, Cars: 200, Puzzles: 150

• Dolls: 250, Cars: 100, Puzzles: 50

• Dolls: 300, Cars: 100, Puzzles: 200

• Dolls: 200, Cars: 100, Puzzles: 100

A pet shop has dogs, cats, and birds. The total number of pets is 80. The number of cats is 10 more than the number of dogs, and the number of birds is 5 less than the number of cats. How many pets of each type are in the shop?

• Dogs: 21, Cats: 31, Birds: 26

• Dogs: 10, Cats: 20, Birds: 50

• Dogs: 30, Cats: 20, Birds: 30

• Dogs: 15, Cats: 25, Birds: 40

In a library, there are three types of books: novels, biographies, and textbooks. The total number of books is 300. The number of biographies is 50 more than the number of novels, and the number of textbooks is 20 less than twice the number of novels. How many books of each type are there?

• Novels: 60, Biographies: 100, Textbooks: 140

• Novels: 70, Biographies: 120, Textbooks: 110

• Novels: 80, Biographies: 90, Textbooks: 130

• Novels: 50, Biographies: 150, Textbooks: 100

A bakery sells three types of pastries: croissants, muffins, and cookies. The total number of pastries sold is 250. The number of muffins sold is 30 more than the number of croissants, and the number of cookies sold is 10 less than the number of muffins. How many pastries of each type were sold?

• Croissants: 70, Muffins: 100, Cookies: 90

• Croissants: 50, Muffins: 90, Cookies: 100

• Croissants: 60, Muffins: 80, Cookies: 70

• Croissants: 80, Muffins: 110, Cookies: 95

A sports team has players in three positions: forwards, midfielders, and defenders. The total number of players is 22. The number of midfielders is twice the number of forwards, and the number of defenders is 2 less than the number of midfielders. How many players are in each position?

• Forwards: 6, Midfielders: 12, Defenders: 8

• Forwards: 4, Midfielders: 8, Defenders: 6

• Forwards: 3, Midfielders: 6, Defenders: 5

• Forwards: 5, Midfielders: 10, Defenders: 7