The ratio of pomegranates to dragonfruits is 5 : 7. If 152 dragonfruits are added, the ratio of pomegranates to dragonfruits will be 3 : 8. How many pomegranates are there?
| |
Pomegranates |
Dragonfruits |
| Before |
5x3 =
15 u |
7x3 =
21 u |
| Change |
|
+ 152 |
| After |
3x5 =
15 u |
8x5 =
40 u |
The number of pomegranates at first and in the end remains unchanged. Make the number of pomegranates at first and in the end the same. LCM of 5 and 3 is 15.
Number of dragonfruits added
= 40 u - 21 u
= 19 u
19 u = 152
1 u = 152 ÷ 19 = 8
Number of pomegranates
= 15 u
= 15 x 8
= 120
Answer(s): 120
