## 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.

 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?

 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.

2 units     5 litres
1 unit
 5 2
litres
5 units
 5 2
litres  ×  5   =
 25 2
litres  =
 12 1 2
litres

 12 1 2
litres

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

1  −
 5 7
=
 2 7

 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?

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.

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?

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