David had kiwis and persimmons. The ratio of kiwis to persimmons was 7 : 5. After
45 of the kiwis and 144 persimmons were sold, there were 7 times as many kiwis as persimmons left. How many kiwis and persimmons were there at first?
|
Kiwis |
Persimmons |
Comparing kiwis and persimmons at first |
7x5 = 35 u |
5x5 = 25 u |
Before |
5x7 = 35 u |
|
Change |
- 4x7 = - 28 u |
- 144 |
After |
1x7 = 7 u |
|
Comparing kiwis and persimmons in the end |
7 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 7 and 5 is 35.
Number of persimmons sold
= 25 u - 1 u
= 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of kiwis and persimmons at first
= 35 u + 25 u
= 60 u
= 60 x 6
= 360
Answer(s): 360