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Name: Date:
A biking team raises $4,250 for charity.
A running team raises $825 more than the biking team.
a. How much money does the running team raise?
?
biking team
running team
$
?
$
$
+
$ $
The running team raises $ .
b. How much money do both teams raise in all?
$
+
$ $
Both teams raise $ in all.
Practice 1 Real-World Problems:
Addition and Subtraction
Solve. Use bar models to help you.
Using Bar Models:
Addition and Subtraction
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4,250
825
4,250 825 5,075
5,075
4,250 5,075 9,325
9,325
Example
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© Marshall Cavendish International (Singapore) Private Limited.
1. The third graders collect 487 cans of food for a food drive.
The second graders collect 175 fewer cans than the third graders.
a. How many cans do the second graders collect?
The second graders collect cans.
b. How many cans do both grades collect in all?
Both grades collect cans in all.
Solve. Use bar models to help you.
?
third graders
second graders
cans
cans
?
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Name: Date:
2. A bookshop has 4,320 books and magazines.
It has 2,169 books. The rest are magazines.
a. How many magazines does the bookshop have?
?
books
magazines
The bookshop has magazines.
b. There are 1,493 women’s magazines and the rest are
sports magazines.
How many sports magazines does the bookshop have?
The bookshop has sports magazines.
Solve. Use bar models to help you.
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magazines
? sports
magazines
women’s
magazines
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© Marshall Cavendish International (Singapore) Private Limited.
3. Ray’s rope is 1,452 centimeters long.
Hannah’s rope is 379 centimeters longer than Ray’s rope.
a. How long is Hannah’s rope?
?
Ray
Hannah
cm
cm
cm
Hannah’s rope is centimeters long.
b. Ray uses 645 centimeters of his rope.
How long is his remaining rope?
cm
?
cm
cm
Ray’s remaining rope is centimeters long.
Solve. Use bar models to help you.
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Name: Date:
Practice 2 Real-World Problems:
Addition and Subtraction
Solve. Draw bar models to help you.
Janice has 1,458 stamps.
She has 396 fewer stamps than Ben.
a. How many stamps does Ben have?
+
Ben has stamps.
b. How many stamps do they have in all?
+
They have stamps in all.
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Janice
?
Ben
1,458 396
?
1,458 396 1,854
1,854
1,458 1,854 3,312
3,312
Example
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© Marshall Cavendish International (Singapore) Private Limited.
1. There are 1,287 men at a baseball game.
There are 879 fewer women than men at the game.
a. How many women are at the game?
women are at the game.
b. How many adult spectators are at the game?
adult spectators are at the game.
Solve. Draw bar models to help you.
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Name: Date:
2. A school sets aside $4,756 for its athletic fund.
It sets aside $1,297 less for its library fund.
a. How much money is in the library fund?
$ is in the library fund.
b. $948 is spent from the library fund.
How much money is left?
$ is left in the library fund.
Solve. Draw bar models to help you.
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© Marshall Cavendish International (Singapore) Private Limited.
3. The school clerk prints 635 newsletters on Monday.
She prints 96 fewer newsletters on Wednesday.
a. How many newsletters does she print on Wednesday?
Solve. Draw bar models to help you.
b. How many newsletters does she print in all?
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© Marshall Cavendish International (Singapore) Private Limited.
Name: Date:
4. Mr. Tuzamoto’s factory makes 1,793 toys each day.
It makes 157 more toys than Ms. Jefferson’s factory.
a. How many toys does Ms. Jefferson’s factory make each day?
Ms. Jefferson’s factory makes toys each day.
b. If Ms. Jefferson’s factory sells 698 toys, how many toys does
her factory have left?
Ms. Jefferson’s factory has toys left.
Solve. Draw bar models to help you.
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© Marshall Cavendish International (Singapore) Private Limited.
5. A middle school has 3,756 students.
It has 455 fewer students than an elementary school.
a. How many students does the elementary school have?
Solve. Draw bar models to help you.
b. How many students do both schools have in all?
09(M)MIF2015CC_WBG3A_Ch05.indd 82 21/4/13 9:24 PM
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© Marshall Cavendish International (Singapore) Private Limited.
Name: Date:
Practice 3 Real-World Problems:
Addition and Subtraction
Solve. Draw bar models to help you.
Jake mixes 620 liters of water and
180 liters of syrup to make lemonade.
He adds another 145 liters of water to the mixture.
How much more water than syrup does he use
for the lemonade?
620 + 145 = 765
He uses 765 liters of water.
765 − 180 = 585
He uses 585 liters more water than syrup.
syrup
water
180 L ?
620 L
145 L
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Example
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© Marshall Cavendish International (Singapore) Private Limited.
1. A pet store donates 3,500 pounds of dog food to
an animal shelter.
A farm donates 2,500 pounds of dog food at first.
Later it donates another 2,000 pounds of dog food to
the animal shelter.
How many more pounds of dog food does the farm donate
than the pet store?
Solve. Draw bar models to help you.
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Name: Date:
Write your own real-world problem.
Solve. Draw bar models to help you.
The Park Fund
raises $2,960.
The Playground
Fund raises $2,662.
The Park Fund raises $298 more
than the Playground Fund.
The Playground Fund raises $298
less than the Park Fund.
The Park Fund and the Playground
Fund raise $5,622 in all.
Word problem
The Park Fund raises $2,960.
The Playground Fund raises $298 less than the Park Fund.
How much does the Playground Fund raise?
Model
Playground Fund
Park Fund
$2,960
$298
?
Solution
$2,960 $298 $2,662
The Playground Fund raises $2,662.
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Example
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© Marshall Cavendish International (Singapore) Private Limited.
Now you try it!
Word problem
Model
Solution
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© Marshall Cavendish International (Singapore) Private Limited.
Name: Date:
Look at the cards.
318
456
195
A B C
Think of three ways to choose two cards.
Find the sum of the two cards.
Example
A and B;
1. and ;
2. and ;
Fill in the missing letters.
3. Which two cards give the greatest sum? and
4. Which two cards give the least sum? and
5. Which two cards give the greatest difference? and
6. Which two cards give the least difference? and
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Put On Your Thinking Cap!
Challenging Practice
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© Marshall Cavendish International (Singapore) Private Limited.
1. Carlos has been collecting cards since he was 5 years old.
He has not thrown away any of his cards.
He is now 7 years old.
He collected 201 cards last year.
He collects 125 cards this year.
He has a total of 589 cards now.
a. How many cards did he have in total at the end of last year?
b. How many cards did he collect when he was 5 years old?
2. Jason, Peter, and Ken hold a garage sale for charity.
Jason raises $350.
Peter raises $20 more than Jason.
Ken raises the same amount as the total amount raised by Jason and Peter.
How much money do the three boys raise in all?
Put On Your Thinking Cap!
Problem Solving
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