Luke had persimmons and pears. The ratio of persimmons to pears was 7 : 5. After
12 of the persimmons and 45 pears were sold, there were 7 times as many persimmons as pears left. How many persimmons and pears were sold?
| |
Persimmons |
Pears |
Comparing persimmons
and pears at first |
7x2 =
14 u |
5x2 =
10 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 45 |
| After |
1x7 =
7 u |
|
Comparing persimmons
and pears 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 2 is 14.
Number of pears sold
= 10 u - 1 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of persimmons and pears sold
= 7 u + 45
= 7 x 5 + 45
= 35 + 45
= 80
Answer(s): 80
