At a shop, the ratio of dates to dragon fruits was 9 : 10. After Yen bought two-thirds of the dragon fruits, there was a total of 222 dates and dragon fruits left at the shop. How many fruits were there at first?
| |
Dates |
Dragon Fruits |
Total |
Comparing dates
and dragon fruits at first |
9x3 =
27 u |
10x3 =
30 u |
57 u |
Before |
|
3x10 =
30 u |
|
Change |
|
- 2x10 =
- 20 u |
|
After |
27 u |
1x10 =
10 u |
222 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 27 u + 10 u
= 37 u
37 u = 222
1 u = 222 ÷ 37 = 6
Number of fruits at first
= 27 u + 30 u
= 57 u
= 57 x 6
= 342
Answer(s): 342
