The ratio of pomegranates to starfruits is 3 : 7. If 55 starfruits are added, the ratio of pomegranates to starfruits will be 1 : 4. How many pomegranates are there?
| |
Pomegranates |
Starfruits |
| Before |
3x1 =
3 u |
7x1 =
7 u |
| Change |
|
+ 55 |
| After |
1x3 =
3 u |
4x3 =
12 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 3 and 1 is 3.
Number of starfruits added
= 12 u - 7 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of pomegranates
= 3 u
= 3 x 11
= 33
Answer(s): 33
