There were some guavas at a mart. In the morning,
15 of guavas were sold. In the afternoon, another 28 guavas were sold. The total number of guavas left was 4 less than
57 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 |
5x7 =
35 u |
7x5 =
35 u |
| Change 1 |
- 1x7 =
- 7 u |
|
| After 1 |
4x7 =
28 u |
| Change 2 |
- 28 |
After 2 |
28 u - 28 |
5x5 - 4 =
25 u - 4 |
(a)
The number of guavas at first is repeated in both comparisons. Make the number of guavas at first. LCM of 5 and 7 is 35.
The number of guavas in the end is the same in both comparisons.
28 u - 28 = 25 u - 4
28 u - 25 u = 28 - 4
3 u = 24
1 u = 24 ÷ 3 = 8
Number of guavas at first
= 35 u
= 35 x 8
= 280
(b)
Number of guavas that remained unsold
= 28 u - 28
= 28 x 8 - 28
= 224 - 28
= 196
Fraction of guavas that remained unsold
=
196280=
710Answer(s): (a) 280; (b)
710 
