There were some mangosteens at a supermarket. In the morning,
14 of mangosteens were sold. In the afternoon, another 26 mangosteens were sold. The total number of mangosteens left was 5 less than
38 of the number of mangosteens the supermarket had at first.
- How many mangosteens were there at first?
- What fraction of the mangosteens in the supermarket remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
4x2 = 8 u |
8x1 = 8 u |
Change 1 |
- 1x2 = - 2 u |
|
After 1 |
3x2 = 6 u |
Change 2 |
- 26 |
After 2 |
6 u - 26 |
3x1 - 5 = 3 u - 5 |
(a)
The number of mangosteens at first is repeated in both comparisons. Make the number of mangosteens at first. LCM of 4 and 8 is 8.
The number of mangosteens in the end is the same in both comparisons.
6 u - 26 = 3 u - 5
6 u - 3 u = 26 - 5
3 u = 21
1 u = 21 ÷ 3 = 7
Number of mangosteens at first
= 8 u
= 8 x 7
= 56
(b)
Number of mangosteens that remained unsold
= 6 u - 26
= 6 x 7 - 26
= 42 - 26
= 16
Fraction of mangosteens that remained unsold
=
1656=
27Answer(s): (a) 56; (b)
27