The ratio of pears to starfruits is 3 : 5. If 49 starfruits are added, the ratio of pears to starfruits will be 1 : 4. How many pears are there?
|
Pears |
Starfruits |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 49 |
After |
1x3 = 3 u |
4x3 = 12 u |
The number of pears at first and in the end remains unchanged. Make the number of pears at first and in the end the same. LCM of 3 and 1 is 3.
Number of starfruits added
= 12 u - 5 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of pears
= 3 u
= 3 x 7
= 21
Answer(s): 21