The ratio of kiwis to persimmons is 3 : 7. If 70 persimmons are added, the ratio of kiwis to persimmons will be 1 : 7. How many kiwis are there?
|
Kiwis |
Persimmons |
Before |
3x1 = 3 u |
7x1 = 7 u |
Change |
|
+ 70 |
After |
1x3 = 3 u |
7x3 = 21 u |
The number of kiwis at first and in the end remains unchanged. Make the number of kiwis at first and in the end the same. LCM of 3 and 1 is 3.
Number of persimmons added
= 21 u - 7 u
= 14 u
14 u = 70
1 u = 70 ÷ 14 = 5
Number of kiwis
= 3 u
= 3 x 5
= 15
Answer(s): 15