At a stall, the ratio of mangosteens to coconuts was 4 : 9. After Mary bought four-fifths of the coconuts, there was a total of 145 mangosteens and coconuts left at the stall. How many fruits were there at first?
|
Mangosteens |
Coconuts |
Total |
Comparing mangosteens and coconuts at first |
4x5 = 20 u |
9x5 = 45 u |
65 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 4x9 = - 36 u |
|
After |
20 u |
1x9 = 9 u |
145 |
The number of coconuts at first is repeated. Make the number of coconuts at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 9 u
= 29 u
29 u = 145
1 u = 145 ÷ 29 = 5
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 5
= 325
Answer(s): 325