Liam had 108 mangosteens and 126 apples at first. He used
56 of the mangosteens and
56 of the apples. He then bought some more apples. In the end,
16 of the fruits he had left were mangosteens. How many apples did he buy?
|
Mangosteens |
Apples |
Total |
Before |
108 |
126 |
|
Change 1 |
- 90 |
- 105 |
|
After 1 |
18 |
21 |
|
Change 2 |
|
+ some |
|
After 2 |
1 u |
5 u |
6 u |
Number of mangosteens that Liam used
=
56 x 108
= 90
Number of mangosteens that Liam had left
= 108 - 90
= 18
Number of apples that Liam used
=
56 x 126
= 105
Number of apples that Liam had left
= 126 - 105
= 21
Fraction of the fruits left that were apples
= 1 -
16=
56 Number of mangosteens left = 1 u = 18
Number of apples left in the end
= 5 u
= 5 x 18
= 90
Number of apples that Liam bought
= 90 - 21
= 69
Answer(s): 69