George had 110 persimmons and 170 starfruits at first. He used
311 of the persimmons and
710 of the starfruits. He then bought some more starfruits. In the end,
13 of the fruits he had left were persimmons. How many starfruits did he buy?
| |
Persimmons |
Starfruits |
Total |
| Before |
110 |
170 |
|
| Change 1 |
- 30 |
- 119 |
|
| After 1 |
80 |
51 |
|
| Change 2 |
|
+ some |
|
| After 2 |
1 u |
2 u |
3 u |
Number of persimmons that George used
=
311 x 110
= 30
Number of persimmons that George had left
= 110 - 30
= 80
Number of starfruits that George used
=
710 x 170
= 119
Number of starfruits that George had left
= 170 - 119
= 51
Fraction of the fruits left that were starfruits
= 1 -
13=
23 Number of persimmons left = 1 u = 80
Number of starfruits left in the end
= 2 u
= 2 x 80
= 160
Number of starfruits that George bought
= 160 - 51
= 109
Answer(s): 109
