George had pears and persimmons. The ratio of pears to persimmons was 9 : 7. After
12 of the pears and 65 persimmons were sold, there were 9 times as many pears as persimmons left. How many pears and persimmons were there at first?
| |
Pears |
Persimmons |
Comparing pears
and persimmons at first |
9x2 =
18 u |
7x2 =
14 u |
| Before |
2x9 =
18 u |
|
| Change |
- 1x9 =
- 9 u |
- 65 |
| After |
1x9 =
9 u |
|
Comparing pears
and persimmons in the end |
9 u |
1 u |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 9 and 2 is 18.
Number of persimmons sold
= 14 u - 1 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of pears and persimmons at first
= 18 u + 14 u
= 32 u
= 32 x 5
= 160
Answer(s): 160
