At a mart, the ratio of tomatoes to dragon fruits was 2 : 9. After Olivia bought two-thirds of the dragon fruits, there was a total of 35 tomatoes and dragon fruits left at the mart. How many fruits were there at first?
| |
Tomatoes |
Dragon Fruits |
Total |
Comparing tomatoes
and dragon fruits at first |
2x1 =
2 u |
9x1 =
9 u |
11 u |
Before |
|
3x3 =
9 u |
|
Change |
|
- 2x3 =
- 6 u |
|
After |
2 u |
1x3 =
3 u |
35 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 9 and 3 is 9.
Total number of fruits left
= 2 u + 3 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of fruits at first
= 2 u + 9 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
