There were some mangosteens at a mart. In the morning,
14 of mangosteens were sold. In the afternoon, another 22 mangosteens were sold. The total number of mangosteens sold was 2 less than
34 of the number of mangosteens the mart had at first.
- How many mangosteens were there at first?
- What fraction of the mangosteens in the mart remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
4x1 = 4 u |
4x1 = 4 u |
Change 1 |
- 1x1 = - 1 u |
|
After 1 |
3x1 = 3 u |
Change 2 |
- 22 |
After 2 |
3 u - 22 |
3x1 - 2 = 3 u - 2 |
(a)
The number of mangosteens at first is repeated in both comparisons. Make the number of mangosteens at first. LCM of 4 and 4 is 4.
The number of mangosteens in the end is the same in both comparisons.
3 u - 22 = 3 u - 2
3 u - 3 u = 22 - 2
2 u = 24
1 u = 24 ÷ 2 = 12
Number of mangosteens at first
= 4 u
= 4 x 12
= 48
(b)
Number of mangosteens that remained unsold
= 1 u + 2
= 1 x 12 + 2
= 14
Fraction of mangosteens that remained unsold
=
1448=
724Answer(s): (a) 48; (b)
724