A store owner has 76 more kiwis than mangosteens. After he sold 75% of the kiwis and 10% of the mangosteens, he is left with 98 more mangosteens than kiwis. What fraction of the fruits left were mangosteens?
| |
Kiwis |
Mangosteens |
Comparing kiwis
and mangosteens at first |
76 more |
|
| Before |
4x5 =
20 u |
+ 76 |
10x2 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 57 |
- 1x2 =
- 2 u |
| After |
1x5 =
5 u |
+ 19 |
9x2 =
18 u |
Comparing kiwis
and mangosteens in the end |
|
98 more |
75% =
75100 =
34 75% x 76 =
34 x 76 = 57
76 - 57 = 19
10% =
10100 =
110 The number of mangosteens is 98 more than the number of kiwis in the end. So, if another 98 kiwis are added, the number of kiwis and mangosteens in the end will be the same.
5 u + 19 + 98 = 18 u
5 u + 117 = 18 u
18 u - 5 u = 117
13 u = 117
1 u = 117 ÷ 13 = 9
Number of mangosteens left
= 18 u
= 18 x 9
= 162
Total number of fruits left
= 5 u + 19 + 18 u
= 23 u + 19
= 23 x 9 + 19
= 207 + 19
= 226
Mangosteens leftTotal fruits left =
162226 =
81113 Answer(s):
81113 
