Ian had 130 mangosteens and 140 pears at first. He used
310 of the mangosteens and
310 of the pears. He then bought some more pears. In the end,
16 of the fruits he had left were mangosteens. How many pears did he buy?
| |
Mangosteens |
Pears |
Total |
| Before |
130 |
140 |
|
| Change 1 |
- 39 |
- 42 |
|
| After 1 |
91 |
98 |
|
| Change 2 |
|
+ some |
|
| After 2 |
1 u |
5 u |
6 u |
Number of mangosteens that Ian used
=
310 x 130
= 39
Number of mangosteens that Ian had left
= 130 - 39
= 91
Number of pears that Ian used
=
310 x 140
= 42
Number of pears that Ian had left
= 140 - 42
= 98
Fraction of the fruits left that were pears
= 1 -
16=
56 Number of mangosteens left = 1 u = 91
Number of pears left in the end
= 5 u
= 5 x 91
= 455
Number of pears that Ian bought
= 455 - 98
= 357
Answer(s): 357
