Pierre had 180 oranges and 66 persimmons at first. He used
45 of the oranges and
56 of the persimmons. He then bought some more persimmons. In the end,
110 of the fruits he had left were oranges. How many persimmons did he buy?
|
Oranges |
Persimmons |
Total |
Before |
180 |
66 |
|
Change 1 |
- 144 |
- 55 |
|
After 1 |
36 |
11 |
|
Change 2 |
|
+ some |
|
After 2 |
1 u |
9 u |
10 u |
Number of oranges that Pierre used
=
45 x 180
= 144
Number of oranges that Pierre had left
= 180 - 144
= 36
Number of persimmons that Pierre used
=
56 x 66
= 55
Number of persimmons that Pierre had left
= 66 - 55
= 11
Fraction of the fruits left that were persimmons
= 1 -
110=
910 Number of oranges left = 1 u = 36
Number of persimmons left in the end
= 9 u
= 9 x 36
= 324
Number of persimmons that Pierre bought
= 324 - 11
= 313
Answer(s): 313