A fruit stall had 5 times as many persimmons as mangosteens. After 27 mangosteens were added, the number of persimmons became twice the number of the mangosteens. How many mangosteens were there at the fruit stall at first?
| |
Persimmons |
Mangosteens |
| Before |
5x2 =
10 u |
1x2 =
2 u |
| Change |
|
+ 27 |
| After |
2x5 =
10 u |
1x5 =
5 u |
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 2 and 5 is 10.
Number of mangosteens added
= 5 u - 2 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of mangosteens at the fruit stall at first
= 2 u
= 2 x 9
= 18
Answer(s): 18
