There were some guavas at a shop. In the morning,
16 of guavas were sold. In the afternoon, another 27 guavas were sold. The total number of guavas sold was 3 less than
712 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 |
12x1 =
12 u |
| Change 1 |
- 1x2 =
- 2 u |
|
| After 1 |
5x2 =
10 u |
| Change 2 |
- 27 |
After 2 |
10 u - 27 |
7x1 - 3 =
7 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 12 is 12.
The number of guavas in the end is the same in both comparisons.
10 u - 27 = 7 u - 3
10 u - 7 u = 27 - 3
5 u = 30
1 u = 30 ÷ 5 = 6
Number of guavas at first
= 12 u
= 12 x 6
= 72
(b)
Number of guavas that remained unsold
= 5 u + 3
= 5 x 6 + 3
= 33
Fraction of guavas that remained unsold
=
3372=
1124Answer(s): (a) 72; (b)
1124 
