At a market, the ratio of dragon fruits to pomegranates was 2 : 9. After Fiona bought three-quarters of the pomegranates, there was a total of 68 dragon fruits and pomegranates left at the market. How many fruits were there at first?
| |
Dragon Fruits |
Pomegranates |
Total |
Comparing dragon fruits
and pomegranates at first |
2x4 =
8 u |
9x4 =
36 u |
44 u |
Before |
|
4x9 =
36 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
8 u |
1x9 =
9 u |
68 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 4 is 36.
Total number of fruits left
= 8 u + 9 u
= 17 u
17 u = 68
1 u = 68 ÷ 17 = 4
Number of fruits at first
= 8 u + 36 u
= 44 u
= 44 x 4
= 176
Answer(s): 176
