At a mart, the ratio of pomegranates to coconuts was 2 : 9. After Rachel bought three-fifths of the coconuts, there was a total of 84 pomegranates and coconuts left at the mart. How many fruits were there at first?
| |
Pomegranates |
Coconuts |
Total |
Comparing pomegranates
and coconuts at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
10 u |
2x9 =
18 u |
84 |
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
= 10 u + 18 u
= 28 u
28 u = 84
1 u = 84 ÷ 28 = 3
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 3
= 165
Answer(s): 165
