There were some kiwis at a shop. In the morning,
13 of kiwis were sold. In the afternoon, another 24 kiwis were sold. The total number of kiwis sold was 6 less than
34 of the number of kiwis the shop had at first.
- How many kiwis were there at first?
- What fraction of the kiwis in the shop remained unsold in the afternoon?
| |
Comparison 1 |
Comparison 2 |
| Before |
3x4 =
12 u |
4x3 =
12 u |
| Change 1 |
- 1x4 =
- 4 u |
|
| After 1 |
2x4 =
8 u |
| Change 2 |
- 24 |
After 2 |
8 u - 24 |
3x3 - 6 =
9 u - 6 |
(a)
The number of kiwis at first is repeated in both comparisons. Make the number of kiwis at first. LCM of 3 and 4 is 12.
The number of kiwis in the end is the same in both comparisons.
8 u - 24 = 9 u - 6
8 u - 9 u = 24 - 6
5 u = 30
1 u = 30 ÷ 5 = 6
Number of kiwis at first
= 12 u
= 12 x 6
= 72
(b)
Number of kiwis that remained unsold
= 3 u + 6
= 3 x 6 + 6
= 24
Fraction of kiwis that remained unsold
=
2472=
13Answer(s): (a) 72; (b)
13 
