The ratio of mangoes to persimmons is 2 : 7. If 55 persimmons are added, the ratio of mangoes to persimmons will be 1 : 9. How many mangoes are there?
| |
Mangoes |
Persimmons |
| Before |
2x1 =
2 u |
7x1 =
7 u |
| Change |
|
+ 55 |
| After |
1x2 =
2 u |
9x2 =
18 u |
The number of mangoes at first and in the end remains unchanged. Make the number of mangoes at first and in the end the same. LCM of 2 and 1 is 2.
Number of persimmons added
= 18 u - 7 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of mangoes
= 2 u
= 2 x 5
= 10
Answer(s): 10
