There were some mangoes at a supermarket. In the morning,
16 of mangoes were sold. In the afternoon, another 20 mangoes were sold. The total number of mangoes left was 2 less than
712 of the number of mangoes the supermarket had at first.
- How many mangoes were there at first?
- What fraction of the mangoes in the supermarket 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 |
- 20 |
After 2 |
10 u - 20 |
7x1 - 2 = 7 u - 2 |
(a)
The number of mangoes at first is repeated in both comparisons. Make the number of mangoes at first. LCM of 6 and 12 is 12.
The number of mangoes in the end is the same in both comparisons.
10 u - 20 = 7 u - 2
10 u - 7 u = 20 - 2
3 u = 18
1 u = 18 ÷ 3 = 6
Number of mangoes at first
= 12 u
= 12 x 6
= 72
(b)
Number of mangoes that remained unsold
= 10 u - 20
= 10 x 6 - 20
= 60 - 20
= 40
Fraction of mangoes that remained unsold
=
4072=
59Answer(s): (a) 72; (b)
59