At a shop, the ratio of oranges to kiwis was 3 : 10. After Penelope bought four-fifths of the kiwis, there was a total of 55 oranges and kiwis left at the shop. How many fruits were there at first?
| |
Oranges |
Kiwis |
Total |
Comparing oranges
and kiwis at first |
3x1 =
3 u |
10x1 =
10 u |
13 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 4x2 =
- 8 u |
|
After |
3 u |
1x2 =
2 u |
55 |
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
= 3 u + 2 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of fruits at first
= 3 u + 10 u
= 13 u
= 13 x 11
= 143
Answer(s): 143
