A container contains some chikoos, mangoes and persimmons. 0.6 of the chikoos is equal to 40% of the mangoes. The number of persimmons is
56 of the total number of mangoes and chikoos. If there are 14 more persimmons than mangoes, how many fruits are there in the container altogether?
Chikoos |
Mangoes |
Persimmons |
2x6 |
3x6 |
|
6x5 |
5x5 |
12 u |
18 u |
25 u |
0.6 =
610=
35 40% =
40100 =
25 0.6 of the chikoos is equal to 40% of the mangoes. Make the numerators the same. LCM of 3 and 2 is 6.
3x25x2 of the chikoos =
2x35x3 of the mangoes
610 of the chikoos =
615 of the mangoes
Chikoos : Mangoes
10 : 15
(÷5)
2 : 3
The total number of chikoos and mangoes is repeated. Make the total number of chikoos and mangoes the same. LCM of 5 and 6 is 30.
Number of more persimmons than mangoes
= 25 u - 18 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of the fruits in the container altogether
= 12 u + 18 u + 25 u
= 55 u
= 55 x 2
= 110
Answer(s): 110