At a stall, the ratio of kiwis to dates was 2 : 9. After Xandra bought two-thirds of the dates, there was a total of 30 kiwis and dates left at the stall. How many fruits were there at first?
| |
Kiwis |
Dates |
Total |
Comparing kiwis
and dates at first |
2x1 =
2 u |
9x1 =
9 u |
11 u |
Before |
|
3x3 =
9 u |
|
Change |
|
- 2x3 =
- 6 u |
|
After |
2 u |
1x3 =
3 u |
30 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 9 and 3 is 9.
Total number of fruits left
= 2 u + 3 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of fruits at first
= 2 u + 9 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
