At a stall, the ratio of lemons to mangosteens was 5 : 11. After Erika bought four-fifths of the mangosteens, there was a total of 144 lemons and mangosteens left at the stall. How many fruits were there at first?
| |
Lemons |
Mangosteens |
Total |
Comparing lemons
and mangosteens at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
25 u |
1x11 =
11 u |
144 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 25 u + 11 u
= 36 u
36 u = 144
1 u = 144 ÷ 36 = 4
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 4
= 320
Answer(s): 320
