John had kiwis and persimmons. The ratio of kiwis to persimmons was 7 : 2. After
34 of the kiwis and 42 persimmons were sold, there were 7 times as many kiwis as persimmons left. How many kiwis and persimmons were sold?
|
Kiwis |
Persimmons |
Comparing kiwis and persimmons at first |
7x4 = 28 u |
2x4 = 8 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 42 |
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 4 is 28.
Number of persimmons sold
= 8 u - 1 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of kiwis and persimmons sold
= 21 u + 42
= 21 x 6 + 42
= 126 + 42
= 168
Answer(s): 168