The ratio of pears to mangosteens is 2 : 5. If 27 mangosteens are added, the ratio of pears to mangosteens will be 1 : 7. How many mangosteens are there?
| |
Pears |
Mangosteens |
| Before |
2x1 =
2 u |
5x1 =
5 u |
| Change |
|
+ 27 |
| After |
1x2 =
2 u |
7x2 =
14 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 2 and 1 is 2.
Number of mangosteens added
= 14 u - 5 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of mangosteens
= 5 u
= 5 x 3
= 15
Answer(s): 15
