Solving Real-World Problems: Defining Variables & Checking Answers

A farmer has chickens and cows. If the total number of animals is 30 and there are 10 more chickens than cows, define variables for the number of chickens (C) and cows (W). How many of each animal does the farmer have?

• 25 chickens and 5 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

In a school, there are students in grades 6 and 7. If the total number of students is 120 and there are 20 more students in grade 7 than in grade 6, define variables for the number of grade 6 students (G6) and grade 7 students (G7). How many students are in each grade?

• Grade 6 students: 50, Grade 7 students: 70

• Grade 6 students: 60, Grade 7 students: 50

• Grade 6 students: 40, Grade 7 students: 80

• Grade 6 students: 30, Grade 7 students: 90

A bookstore sells fiction and non-fiction books. If the total number of books is 200 and there are 50 more fiction books than non-fiction books, define variables for the number of fiction books (F) and non-fiction books (N). How many books of each type are there?

• 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

A car rental company has sedans and SUVs. If the total number of cars is 50 and there are 10 more sedans than SUVs, define variables for the number of sedans (S) and SUVs (U). How many of each type of car does the company have?

• Sedans: 20, SUVs: 30

• Sedans: 25, SUVs: 25

• Sedans: 40, SUVs: 10

• Sedans: 30, SUVs: 20

In a fruit basket, there are apples and oranges. If the total number of fruits is 40 and there are twice as many apples as oranges, define variables for the number of apples (A) and oranges (O). How many apples and oranges are in the basket?

• 10 apples and 30 oranges

• 20 apples and 10 oranges

• 30 apples and 5 oranges

• 15 apples and 25 oranges

A pet shop has dogs and cats. If the total number of pets is 25 and there are 5 more dogs than cats, define variables for the number of dogs (D) and cats (C). How many dogs and cats are in the shop?

• 10 dogs and 15 cats

• 20 dogs and 5 cats

• 12 dogs and 13 cats

• 15 dogs and 10 cats

A concert has tickets for adults and children. If the total number of tickets sold is 300 and there are 100 more adult tickets than child tickets, define variables for adult tickets (A) and child tickets (C). How many tickets of each type were sold?

• 100 adult tickets and 200 child tickets

• 250 adult tickets and 50 child tickets

• 150 adult tickets and 150 child tickets

• 200 adult tickets and 100 child tickets

A bakery sells cupcakes and cookies. If the total number of baked goods is 80 and there are 20 more cupcakes than cookies, define variables for the number of cupcakes (C) and cookies (K). How many of each type of baked good does the bakery have?

• Cupcakes: 60, Cookies: 20

• Cupcakes: 40, Cookies: 40

• Cupcakes: 30, Cookies: 50

• Cupcakes: 50, Cookies: 30

A library has fiction and non-fiction books. If the total number of books is 500 and there are 150 more fiction books than non-fiction books, define variables for the number of fiction books (F) and non-fiction books (N). How many books of each type are in the library?

• Fiction books: 400, Non-fiction books: 100

• Fiction books: 325, Non-fiction books: 175

• Fiction books: 300, Non-fiction books: 200

• Fiction books: 250, Non-fiction books: 250

A sports team has players in two positions: forwards and defenders. If the total number of players is 22 and there are 4 more forwards than defenders, define variables for the number of forwards (F) and defenders (D). How many players are in each position?

• Forwards: 13, Defenders: 9

• Forwards: 15, Defenders: 7

• Forwards: 10, Defenders: 12

• Forwards: 11, Defenders: 11