Xavier had 110 pomegranates and 143 pears at first. He used
310 of the pomegranates and
511 of the pears. He then bought some more pears. In the end,
13 of the fruits he had left were pomegranates. How many pears did he buy?
| |
Pomegranates |
Pears |
Total |
| Before |
110 |
143 |
|
| Change 1 |
- 33 |
- 65 |
|
| After 1 |
77 |
78 |
|
| Change 2 |
|
+ some |
|
| After 2 |
1 u |
2 u |
3 u |
Number of pomegranates that Xavier used
=
310 x 110
= 33
Number of pomegranates that Xavier had left
= 110 - 33
= 77
Number of pears that Xavier used
=
511 x 143
= 65
Number of pears that Xavier had left
= 143 - 65
= 78
Fraction of the fruits left that were pears
= 1 -
13=
23 Number of pomegranates left = 1 u = 77
Number of pears left in the end
= 2 u
= 2 x 77
= 154
Number of pears that Xavier bought
= 154 - 78
= 76
Answer(s): 76
