A container contains some chikoos, starfruits and passion fruits. 0.8 of the chikoos is equal to 60% of the starfruits. The number of passion fruits is
23 of the total number of starfruits and chikoos. If there are 18 more passion fruits than starfruits, how many fruits are there in the container altogether?
Chikoos |
Starfruits |
Passion Fruits |
3x3 |
4x3 |
|
3x7 |
2x7 |
9 u |
12 u |
14 u |
0.8 =
810=
45 60% =
60100 =
35 0.8 of the chikoos is equal to 60% of the starfruits. Make the numerators the same. LCM of 4 and 3 is 12.
4x35x3 of the chikoos =
3x45x4 of the starfruits
1215 of the chikoos =
1220 of the starfruits
Chikoos : Starfruits
15 : 20
(÷5)
3 : 4
The total number of chikoos and starfruits is repeated. Make the total number of chikoos and starfruits the same. LCM of 7 and 3 is 21.
Number of more passion fruits than starfruits
= 14 u - 12 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of the fruits in the container altogether
= 9 u + 12 u + 14 u
= 35 u
= 35 x 9
= 315
Answer(s): 315