There were some kiwis at a shop. In the morning,
14 of kiwis were sold. In the afternoon, another 35 kiwis were sold. The total number of kiwis left was 7 less than
512 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 |
4x3 = 12 u |
12x1 = 12 u |
Change 1 |
- 1x3 = - 3 u |
|
After 1 |
3x3 = 9 u |
Change 2 |
- 35 |
After 2 |
9 u - 35 |
5x1 - 7 = 5 u - 7 |
(a)
The number of kiwis at first is repeated in both comparisons. Make the number of kiwis at first. LCM of 4 and 12 is 12.
The number of kiwis in the end is the same in both comparisons.
9 u - 35 = 5 u - 7
9 u - 5 u = 35 - 7
4 u = 28
1 u = 28 ÷ 4 = 7
Number of kiwis at first
= 12 u
= 12 x 7
= 84
(b)
Number of kiwis that remained unsold
= 9 u - 35
= 9 x 7 - 35
= 63 - 35
= 28
Fraction of kiwis that remained unsold
=
2884=
13Answer(s): (a) 84; (b)
13