A container contains some chikoos, pomegranates and lemons. 0.2 of the chikoos is equal to 60% of the pomegranates. The number of lemons is
37 of the total number of pomegranates and chikoos. If there are 35 more lemons than pomegranates, how many fruits are there in the container altogether?
Chikoos |
Pomegranates |
Lemons |
3x7 |
1x7 |
|
7x4 |
3x4 |
21 u |
7 u |
12 u |
0.2 =
210=
15 60% =
60100 =
35 0.2 of the chikoos is equal to 60% of the pomegranates. Make the numerators the same. LCM of 1 and 3 is 3.
1x35x3 of the chikoos =
3x15x1 of the pomegranates
315 of the chikoos =
35 of the pomegranates
Chikoos : Pomegranates
15 : 5
(÷5)
3 : 1
The total number of chikoos and pomegranates is repeated. Make the total number of chikoos and pomegranates the same. LCM of 4 and 7 is 28.
Number of more lemons than pomegranates
= 12 u - 7 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of the fruits in the container altogether
= 21 u + 7 u + 12 u
= 40 u
= 40 x 7
= 280
Answer(s): 280