A store owner has 40 more apples than starfruits. After he sold 75% of the apples and 20% of the starfruits, he is left with 78 less apples than starfruits. What fraction of the fruits left were starfruits?
| |
Apples |
Starfruits |
Comparing apples
and starfruits at first |
40 more |
|
| Before |
4x5 =
20 u |
+ 40 |
5x4 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 30 |
- 1x4 =
- 4 u |
| After |
1x5 =
5 u |
+ 10 |
4x4 =
16 u |
Comparing apples
and starfruits in the end |
78 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
20% =
20100 =
15 The number of apples is 78 less than the number of starfruits in the end. So, if another 78 apples are added, the number of apples and starfruits in the end will be the same.
5 u + 10 + 78 = 16 u
5 u + 88 = 16 u
16 u - 5 u = 88
11 u = 88
1 u = 88 ÷ 11 = 8
Number of starfruits left
= 16 u
= 16 x 8
= 128
Total number of fruits left
= 5 u + 10 + 16 u
= 21 u + 10
= 21 x 8 + 10
= 168 + 10
= 178
Starfruits leftTotal fruits left =
128178 =
6489 Answer(s):
6489 
