The ratio of pomegranates to grapefruits is 5 : 7. If 186 grapefruits are added, the ratio of pomegranates to grapefruits will be 2 : 9. How many pomegranates are there?
|
Pomegranates |
Grapefruits |
Before |
5x2 = 10 u |
7x2 = 14 u |
Change |
|
+ 186 |
After |
2x5 = 10 u |
9x5 = 45 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 2 is 10.
Number of grapefruits added
= 45 u - 14 u
= 31 u
31 u = 186
1 u = 186 ÷ 31 = 6
Number of pomegranates
= 10 u
= 10 x 6
= 60
Answer(s): 60