Rael had 135 persimmons and 160 lemons at first. He used
45 of the persimmons and
78 of the lemons. He then bought some more lemons. In the end,
19 of the fruits he had left were persimmons. How many lemons did he buy?
| |
Persimmons |
Lemons |
Total |
| Before |
135 |
160 |
|
| Change 1 |
- 108 |
- 140 |
|
| After 1 |
27 |
20 |
|
| Change 2 |
|
+ some |
|
| After 2 |
1 u |
8 u |
9 u |
Number of persimmons that Rael used
=
45 x 135
= 108
Number of persimmons that Rael had left
= 135 - 108
= 27
Number of lemons that Rael used
=
78 x 160
= 140
Number of lemons that Rael had left
= 160 - 140
= 20
Fraction of the fruits left that were lemons
= 1 -
19=
89 Number of persimmons left = 1 u = 27
Number of lemons left in the end
= 8 u
= 8 x 27
= 216
Number of lemons that Rael bought
= 216 - 20
= 196
Answer(s): 196
