At a stall, the ratio of lemons to peaches was 5 : 9. After Shiyun bought three-fifths of the peaches, there was a total of 86 lemons and peaches left at the stall. How many fruits were there at first?
| |
Lemons |
Peaches |
Total |
Comparing lemons
and peaches at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
25 u |
2x9 =
18 u |
86 |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 18 u
= 43 u
43 u = 86
1 u = 86 ÷ 43 = 2
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 2
= 140
Answer(s): 140
