A container contains some chikoos, passion fruits and mangosteens. 0.2 of the chikoos is equal to 40% of the passion fruits. The number of mangosteens is
58 of the total number of passion fruits and chikoos. If there are 49 less passion fruits than mangosteens, how many fruits are there in the container altogether?
Chikoos |
Passion Fruits |
Mangosteens |
2x8 |
1x8 |
|
8x3 |
5x3 |
16 u |
8 u |
15 u |
0.2 =
210=
15 40% =
40100 =
25 0.2 of the chikoos is equal to 40% of the passion fruits. Make the numerators the same. LCM of 1 and 2 is 2.
1x25x2 of the chikoos =
2x15x1 of the passion fruits
210 of the chikoos =
25 of the passion fruits
Chikoos : Passion Fruits
10 : 5
(÷5)
2 : 1
The total number of chikoos and passion fruits is repeated. Make the total number of chikoos and passion fruits the same. LCM of 3 and 8 is 24.
Number of less passion fruits than mangosteens
= 15 u - 8 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of the fruits in the container altogether
= 16 u + 8 u + 15 u
= 39 u
= 39 x 7
= 273
Answer(s): 273