Word Problems

1. A farmer picked apples, bananas and oranges.
He picked     
3    2
   3
kg of apples,     
7    1
   2
kg of bananas and     
9    1
   3
kg of oranges.
Find the mass of fruits he picked altogether.

square metre or square meter
     
3 2
3
  +  
7 1
2
  +  
9 1
3

11
3
  +  
15
2
  +  
28
3

22
6
  +  
45
6
  +  
56
6

123
6

=  
20 3
6

=  
20 1
2


The mass of fruits he picked altogether was  
20 1
2
 kg
.

2. Joshua jogged     
4    3
   8
km altogether.
He jogged     
1    1
   2
km in the morning,    
5
8
km in the afternoon and the rest of the distance in the evening.
How far did he jog in the evening?

square metre or square meter
    
1 1
2
  + 
5
8

3
2
 + 
5
8

12
8
 + 
5
8

17
8

=  
2 1
8

He jogged  
2 1
8
 km  in the morning and afternoon altogether.

    
4 3
8
  −  
2 1
8

2 2
8

2 1
4


He jogged  
2 1
4
  km
 in the evening.

3. Alan made some lemonade.
He gave 5 litres of it to his sister and kept the rest for himself.
If he kept     
3
5
of the lemonade for himself, how many litres of lemonade did he make?
Express your answer as a mixed number.

square metre or square meter
2 units     5 litres
1 unit    
5
2
litres
5 units  
5
2
litres  ×  5   = 
25
2
litres  = 
12 1
2
 litres

He made  
12 1
2
  litres
 of lemonade.

4. Shelly had     
3    1
   2
kg of peanuts.
She sold    
5
7
of them.
Find the mass of peanuts she had left.

square metre or square meter
1  − 
5
7
 = 
2
7

She had
2
7
 of the peanuts left.

   
2
7
 of 
3 1
2
 kg
2
7
 × 
3 1
2
 kg
2
7
 × 
7
2
 kg
2 x 7
7 x 2
kg
=   1 kg

The mass of peanuts she had left was 1 kg.

5. Barry has 36 coins.
1
2
of them are Singapore coins,    
1
3
of them are US coins and the rest are Indian coins.
How many Indian coins does he have?

square metre or square meter
Change
1
2
and
1
3
to like fractions.
1
2
 = 
3
6

1
3
 = 
2
6
6 units   36
1 unit     36  ÷  6  =  6

He has 6 Indian coins.

6. Mei had a piece of ribbon.
She used    
3
4
of it to make bows.
She used 60 cm of the ribbon to make bows.
Find the length of the ribbon she had at first.

square metre or square meter
3 units   60 cm
1 unit     60 cm  ÷  3  =  20 cm
4 units   20 cm  ×  4  =  80 cm

She had 80 cm of ribbon at first.

7. Sam received $150 of pocket money.
He spent    
2
5
of it on a pair of shoes and    
1
6
of the remaining on a watch.
a.   How much did the shoes cost?
b.   Find the sum of money he had left in the end?
c.   What fraction of his pocket money had he left?

square metre or square meter
a.   5 units   $150
      1 unit     $150  ÷  5  =  $30
      2 units   $30  ×  2  =  $60

      The shoes cost  $60.
b.   $150  −  $60  =  $90
      6 units   $90
      1 unit     $90  ÷  6  =  $15
      5 units   $15  ×  5  =  $75

      He had  $75  left in the end.
c.   Sum of money left in the end  =  $75
      Sum of pocket money at first  =  $150
      Fraction of pocket money left  = 
75
150
 = 
1
2

      He had
1
2
of his pocket money left.