Question

For a party in kindergarten balloons of three colors were bought: red, green, and yellow. There were 40 red balloons, the number of green balloons made up 3/5 of the number of red balloons and 2/3 of the number of yellow balloons. How many balloons were brought to the kindergarten? What part of them could be blown up, if before the blowing-up 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellow balloons popped?

Answer 1

Answer: Total number of balloons are 100

and part of balloon is blown up is
`(1)/(20)`.

Explanation:

Since we have given that

Number of red balloons = 40

Number of green balloons is given by

`(3)/(5)* 40\\\\=3* 8\\\\=24`

Number of yellow balloons is given by

`24* (3)/(2)\\\\=12* 3\\\\=36`

So, Total number of balloons were brought to the kindergarten is given by

`40+24+36=100`

Number of red balloons are popped is given by

`(1)/(20)* 40\\\\=2`

Number of green balloons are popped is given by

`(1)/(12)* 24\\\\=2`

Number of yellow balloons are popped is given by

`(1)/(36)* 36\\\\=1`

total number of balloons are blown up is given by

`2+2+1=5`

Therefore, Part of balloon is blown up is given by

`(5)/(100)=(1)/(20)`

Hence, Total number of balloons are 100

and part of balloon is blown up is
`(1)/(20)`.