At a shop, the ratio of kiwis to dates was 5 : 12. After Cathy bought three-quarters of the dates, there was a total of 96 kiwis and dates left at the shop. How many fruits were there at first?
| |
Kiwis |
Dates |
Total |
Comparing kiwis
and dates at first |
5x1 =
5 u |
12x1 =
12 u |
17 u |
Before |
|
4x3 =
12 u |
|
Change |
|
- 3x3 =
- 9 u |
|
After |
5 u |
1x3 =
3 u |
96 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 12 and 4 is 12.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 96
1 u = 96 ÷ 8 = 12
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 12
= 204
Answer(s): 204
