Ethan had 154 kiwis and 160 mangosteens at first. He used
311 of the kiwis and
710 of the mangosteens. He then bought some more mangosteens. In the end,
16 of the fruits he had left were kiwis. How many mangosteens did he buy?
|
Kiwis |
Mangosteens |
Total |
Before |
154 |
160 |
|
Change 1 |
- 42 |
- 112 |
|
After 1 |
112 |
48 |
|
Change 2 |
|
+ some |
|
After 2 |
1 u |
5 u |
6 u |
Number of kiwis that Ethan used
=
311 x 154
= 42
Number of kiwis that Ethan had left
= 154 - 42
= 112
Number of mangosteens that Ethan used
=
710 x 160
= 112
Number of mangosteens that Ethan had left
= 160 - 112
= 48
Fraction of the fruits left that were mangosteens
= 1 -
16=
56 Number of kiwis left = 1 u = 112
Number of mangosteens left in the end
= 5 u
= 5 x 112
= 560
Number of mangosteens that Ethan bought
= 560 - 48
= 512
Answer(s): 512