Solving Word Problems with Diagrams and Equations

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 he have? Draw a diagram to represent the animals.

• 10 cows and 20 chickens

• 12 cows and 18 chickens

• 5 cows and 25 chickens

• 15 cows and 15 chickens

In a school, there are two classes. Class A has 5 more students than Class B. If the total number of students in both classes is 50, how many students are in each class? Create a table to show your work.

• Class A has 27 students and Class B has 22 students.

• Class A has 22 students and Class B has 17 students.

• Class A has 25 students and Class B has 25 students.

• Class A has 30 students and Class B has 20 students.

Sarah and Tom are collecting stickers. Sarah has 12 more stickers than Tom. Together, they have 72 stickers. How many stickers does each of them have? Use a bar model to illustrate the problem.

• Tom has 25 stickers and Sarah has 47 stickers.

• Tom has 35 stickers and Sarah has 37 stickers.

• Tom has 30 stickers and Sarah has 42 stickers.

• Tom has 40 stickers and Sarah has 32 stickers.

A bookstore sells fiction and non-fiction books. The number of fiction books is twice the number of non-fiction books. If there are 90 books in total, how many of each type are there? Draw a pie chart to represent the quantities.

• Fiction books: 45, Non-fiction books: 45

• Fiction books: 30, Non-fiction books: 60

• Fiction books: 75, Non-fiction books: 15

• Fiction books: 60, Non-fiction books: 30

At a pet shop, there are dogs and cats. The number of dogs is 3 times the number of cats. If there are 32 pets in total, how many dogs and cats are there? Use a Venn diagram to show the relationship between the two.

• 28 dogs and 4 cats

• 16 dogs and 16 cats

• There are 24 dogs and 8 cats.

• 20 dogs and 12 cats

Emma and Liam are saving money. Emma has $15 more than Liam. If together they have $105, how much does each person have? Create a number line to visualize their savings.

• Liam has $30 and Emma has $75.

• Liam has $50 and Emma has $55.

• Liam has $40 and Emma has $65.

• Liam has $45 and Emma has $60.

A bakery sells cupcakes and cookies. The number of cupcakes is 4 less than twice the number of cookies. If there are 40 baked goods in total, how many cupcakes and cookies are there? Use a flowchart to outline your solution process.

• 24 cupcakes and 14 cookies

• 20 cupcakes and 20 cookies

• 30 cupcakes and 10 cookies

• 10 cupcakes and 30 cookies

In a garden, there are roses and tulips. The number of roses is 5 more than the number of tulips. If there are 25 flowers in total, how many of each type are there? Draw a diagram to represent the flowers.

• Roses: 15, Tulips: 10

• Roses: 20, Tulips: 5

• Roses: 10, Tulips: 15

• Roses: 12, Tulips: 13

A toy store has action figures and dolls. The number of action figures is 6 less than the number of dolls. If there are 54 toys in total, how many action figures and dolls are there? Use a table to organize your findings.

• 30 dolls and 24 action figures

• 36 dolls and 18 action figures

• 32 dolls and 22 action figures

• 28 dolls and 26 action figures

A concert has two types of tickets: regular and VIP. The number of VIP tickets sold is 20 less than twice the number of regular tickets. If 200 tickets were sold in total, how many of each type were sold? Create a bar graph to display the ticket sales.

• Regular tickets: 73, VIP tickets: 126

• Regular tickets: 80, VIP tickets: 120

• Regular tickets: 100, VIP tickets: 100

• Regular tickets: 50, VIP tickets: 150