There were some mangoes at a mart. In the morning,
13 of mangoes were sold. In the afternoon, another 34 mangoes were sold. The total number of mangoes sold was 6 less than
34 of the number of mangoes the mart had at first.
- How many mangoes were there at first?
- What fraction of the mangoes in the mart remained unsold in the afternoon?
| |
Comparison 1 |
Comparison 2 |
| Before |
3x4 =
12 u |
4x3 =
12 u |
| Change 1 |
- 1x4 =
- 4 u |
|
| After 1 |
2x4 =
8 u |
| Change 2 |
- 34 |
After 2 |
8 u - 34 |
3x3 - 6 =
9 u - 6 |
(a)
The number of mangoes at first is repeated in both comparisons. Make the number of mangoes at first. LCM of 3 and 4 is 12.
The number of mangoes in the end is the same in both comparisons.
8 u - 34 = 9 u - 6
8 u - 9 u = 34 - 6
5 u = 40
1 u = 40 ÷ 5 = 8
Number of mangoes at first
= 12 u
= 12 x 8
= 96
(b)
Number of mangoes that remained unsold
= 3 u + 6
= 3 x 8 + 6
= 30
Fraction of mangoes that remained unsold
=
3096=
516Answer(s): (a) 96; (b)
516 
