At a mart, the ratio of pomegranates to mandarin oranges was 6 : 11. After Min bought two-thirds of the mandarin oranges, there was a total of 58 pomegranates and mandarin oranges left at the mart. How many fruits were there at first?
| |
Pomegranates |
Mandarin Oranges |
Total |
Comparing pomegranates
and mandarin oranges at first |
6x3 =
18 u |
11x3 =
33 u |
51 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
18 u |
1x11 =
11 u |
58 |
The number of mandarin oranges at first is repeated. Make the number of mandarin oranges at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 18 u + 11 u
= 29 u
29 u = 58
1 u = 58 ÷ 29 = 2
Number of fruits at first
= 18 u + 33 u
= 51 u
= 51 x 2
= 102
Answer(s): 102
