Luke had persimmons and lemons. The ratio of persimmons to lemons was 7 : 6. After
34 of the persimmons and 92 lemons were sold, there were 7 times as many persimmons as lemons left. How many persimmons and lemons were sold?
| |
Persimmons |
Lemons |
Comparing persimmons
and lemons at first |
7x4 =
28 u |
6x4 =
24 u |
| Before |
4x7 =
28 u |
|
| Change |
- 3x7 =
- 21 u |
- 92 |
| After |
1x7 =
7 u |
|
Comparing persimmons
and lemons in the end |
7 u |
1 u |
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 7 and 4 is 28.
Number of lemons sold
= 24 u - 1 u
= 23 u
23 u = 92
1 u = 92 ÷ 23 = 4
Number of persimmons and lemons sold
= 21 u + 92
= 21 x 4 + 92
= 84 + 92
= 176
Answer(s): 176
