There were some guavas at a mart. In the morning,
16 of guavas were sold. In the afternoon, another 40 guavas were sold. The total number of guavas sold was 2 less than
34 of the number of guavas the mart had at first.
- How many guavas were there at first?
- What fraction of the guavas in the mart 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 |
- 40 |
After 2 |
10 u - 40 |
3x3 - 2 = 9 u - 2 |
(a)
The number of guavas at first is repeated in both comparisons. Make the number of guavas at first. LCM of 6 and 4 is 12.
The number of guavas in the end is the same in both comparisons.
10 u - 40 = 9 u - 2
10 u - 9 u = 40 - 2
7 u = 42
1 u = 42 ÷ 7 = 6
Number of guavas at first
= 12 u
= 12 x 6
= 72
(b)
Number of guavas that remained unsold
= 3 u + 2
= 3 x 6 + 2
= 20
Fraction of guavas that remained unsold
=
2072=
518Answer(s): (a) 72; (b)
518