There were some kiwis at a supermarket. In the morning,
16 of kiwis were sold. In the afternoon, another 22 kiwis were sold. The total number of kiwis sold was 6 less than
34 of the number of kiwis the supermarket had at first.
- How many kiwis were there at first?
- What fraction of the kiwis in the supermarket remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
6x2 = 12 u |
4x3 = 12 u |
Change 1 |
- 1x2 = - 2 u |
|
After 1 |
5x2 = 10 u |
Change 2 |
- 22 |
After 2 |
10 u - 22 |
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 6 and 4 is 12.
The number of kiwis in the end is the same in both comparisons.
10 u - 22 = 9 u - 6
10 u - 9 u = 22 - 6
7 u = 28
1 u = 28 ÷ 7 = 4
Number of kiwis at first
= 12 u
= 12 x 4
= 48
(b)
Number of kiwis that remained unsold
= 3 u + 6
= 3 x 4 + 6
= 18
Fraction of kiwis that remained unsold
=
1848=
38Answer(s): (a) 48; (b)
38