At a shop, the ratio of pomegranates to kiwis was 9 : 10. After Tina bought two-fifths of the kiwis, there was a total of 135 pomegranates and kiwis left at the shop. How many fruits were there at first?
|
Pomegranates |
Kiwis |
Total |
Comparing pomegranates and kiwis at first |
9x1 = 9 u |
10x1 = 10 u |
19 u |
Before |
|
5x2 = 10 u |
|
Change |
|
- 2x2 = - 4 u |
|
After |
9 u |
3x2 = 6 u |
135 |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 6 u
= 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 9
= 171
Answer(s): 171