USING BAR MODELS TO SOLVE WORD PROBLEMS

Problem 1:

Helen puts 14 bread sticks in a basket. Her friend puts 17 breadsticks in the basket. How many breadsticks are in the basket?

Solution :

Number of bread sticks put by Helen = 14

Number of sticks put by her friend = 14

Total number of bread sticks in the basket = 14 + 17

= 31

There are 31 bread sticks in the basket.

Problem 2 :

The third grade class has a new aquarium. There are 21 fish in it. 15 fish were given by families. The rest were bought by the school. How many were bought by the school.

Solution :

Number of fish in the aquarium = 21

Number of fish given by families = 15

15 + x = 21

x = 21 - 15

x = 6

The school bought 6 fishes.

Problem 3 :

There are 147 fish in a pond. 49 of them are black. The rest are orange. How many are orange?

Solution :

Number of fishes in a pond = 147

Number of black fishes = 49

Orange fishes = 147 - 49

= 98

There are 98 orange fish.

Problem 4:

Rick has $99.00. He saves another $46.00. How much money does he have now?

Solution:

Rick already has $99

His Saving = $46

Money he has totally = $99 + $46

= $145

Rick has $145 now.

Problem 5 :

Maria has 48 pencils. She gives the same number of pencils to each of her friends, and she has 3 pencils left. Each friend gets 9 pencils. How many friends are there?

Solution :

Number of pencils = 48

= 48/9

= quotient 5 remainder 3

There are 5 friends.

Problem 6 :

Three friends share 56 cards equally. How many cards does each child get ? How many cards are left over?

Solution :

= 56/3

= quotient 18 remainder 2

Each child gets 18 cards. 2 cards are leftover.

Problem 7 :

Timothy packs 60 bottles of orange juice equally into four containers. How many bottles are in each container?

Solution :

= 60/4

= 15

There are 15 bottles of orange juice in each container.

Problem 8 :

Paul has 58 bicycles in his shop. He arranges them in 5 equal rows.

a) How many are in each row?

b) How many are left over?

Solution :

= 58/5

= quotient 11 remainder 3

a.

There are 11 bicycles in each row.

b.

There are 3 bicycles left over.

Problem 9 :

A tennis club orders 715 tennis balls. After some matches, 318 are worn out. The remaining matches will use 415 balls. Does the club have enough balls for the remaining matches?

Solution :

Number of tennis balls ordered = 715

Number of balls worn out = 318

Number of balls remaining = 715 - 318

= 397 balls

Number of balls to be used in remaining matches = 415

= 415 - 397

= 18 balls

The club does not have enough balls for the remaining matches. They need 18 balls more.

Problem 10 :

The drama club has $416 to spend on the next play. Costumes cost $185.00. Make up costs $176.00. What is the total cost of costumes and make up? How much money is left over after buying the two items?

Solution :

Cost of costumes = $185

Cost of makeup = $176

Total cost of costumes and makeup = $185 + $176

= $361

Remaining money after buying the two items = $416 - $361

= $55