A box contains some persimmons, starfruits and chikoos. 0.2 of the persimmons is equal to 60% of the starfruits. The number of chikoos is
47 of the total number of starfruits and persimmons. If there are 18 more chikoos than starfruits, how many fruits are there in the box altogether?
Persimmons |
Starfruits |
Chikoos |
3x7 |
1x7 |
|
7x4 |
4x4 |
21 u |
7 u |
16 u |
0.2 =
210=
15 60% =
60100 =
35 0.2 of the persimmons is equal to 60% of the starfruits. Make the numerators the same. LCM of 1 and 3 is 3.
1x35x3 of the persimmons =
3x15x1 of the starfruits
315 of the persimmons =
35 of the starfruits
Persimmons : Starfruits
15 : 5
(÷5)
3 : 1
The total number of persimmons and starfruits is repeated. Make the total number of persimmons and starfruits the same. LCM of 4 and 7 is 28.
Number of more chikoos than starfruits
= 16 u - 7 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of the fruits in the box altogether
= 21 u + 7 u + 16 u
= 44 u
= 44 x 2
= 88
Answer(s): 88