At a shop, the ratio of limes to dragon fruits was 9 : 10. After Hilda bought three-fifths of the dragon fruits, there was a total of 117 limes and dragon fruits left at the shop. How many fruits were there at first?
| |
Limes |
Dragon Fruits |
Total |
Comparing limes
and dragon fruits at first |
9x1 =
9 u |
10x1 =
10 u |
19 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 3x2 =
- 6 u |
|
After |
9 u |
2x2 =
4 u |
117 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 4 u
= 13 u
13 u = 117
1 u = 117 ÷ 13 = 9
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 9
= 171
Answer(s): 171
