At a shop, the ratio of dates to mandarin oranges was 3 : 10. After Gem bought two-thirds of the mandarin oranges, there was a total of 152 dates and mandarin oranges left at the shop. How many fruits were there at first?
| |
Dates |
Mandarin Oranges |
Total |
Comparing dates
and mandarin oranges at first |
3x3 =
9 u |
10x3 =
30 u |
39 u |
Before |
|
3x10 =
30 u |
|
Change |
|
- 2x10 =
- 20 u |
|
After |
9 u |
1x10 =
10 u |
152 |
The number of mandarin oranges at first is repeated. Make the number of mandarin oranges at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 9 u + 10 u
= 19 u
19 u = 152
1 u = 152 ÷ 19 = 8
Number of fruits at first
= 9 u + 30 u
= 39 u
= 39 x 8
= 312
Answer(s): 312
