At a stall, the ratio of mangosteens to dragon fruits was 2 : 9. After Jen bought three-fifths of the dragon fruits, there was a total of 168 mangosteens and dragon fruits left at the stall. How many fruits were there at first?
| |
Mangosteens |
Dragon Fruits |
Total |
Comparing mangosteens
and dragon fruits at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
10 u |
2x9 =
18 u |
168 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 18 u
= 28 u
28 u = 168
1 u = 168 ÷ 28 = 6
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 6
= 330
Answer(s): 330
