At a market, the ratio of coconuts to grapefruits was 2 : 9. After Eva bought three-quarters of the grapefruits, there was a total of 85 coconuts and grapefruits left at the market. How many fruits were there at first?
| |
Coconuts |
Grapefruits |
Total |
Comparing coconuts
and grapefruits at first |
2x4 =
8 u |
9x4 =
36 u |
44 u |
Before |
|
4x9 =
36 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
8 u |
1x9 =
9 u |
85 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 9 and 4 is 36.
Total number of fruits left
= 8 u + 9 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Number of fruits at first
= 8 u + 36 u
= 44 u
= 44 x 5
= 220
Answer(s): 220
