There were some guavas at a shop. In the morning,
16 of guavas were sold. In the afternoon, another 25 guavas were sold. The total number of guavas sold was 3 less than
34 of the number of guavas the shop had at first.
- How many guavas were there at first?
- What fraction of the guavas in the shop 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 |
- 25 |
After 2 |
10 u - 25 |
3x3 - 3 = 9 u - 3 |
(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 - 25 = 9 u - 3
10 u - 9 u = 25 - 3
7 u = 28
1 u = 28 ÷ 7 = 4
Number of guavas at first
= 12 u
= 12 x 4
= 48
(b)
Number of guavas that remained unsold
= 3 u + 3
= 3 x 4 + 3
= 15
Fraction of guavas that remained unsold
=
1548=
516Answer(s): (a) 48; (b)
516