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?

Total number of balloons is, 100

Part of them could be blown up ,

Step-by-step explanation:

Let the number of red balloons be x , number of green balloons be y and the number of yellow balloons be z respectively.

Given: Number of red balloons x = 40

y = =

and

Multiply both sides by ;

Simplify:

Substitute the value of y = 24 to solve for z;

Therefore, total number of balloons = x+y+z = 40+24+36 = 100 balloons.

Number of balloons popped =

Substitute the value of x, y and z we get;

Number of balloons popped = = 2+2+1 = 5

The number of balloons popped is  5.

Number of balloon that can be blown up = total number of balloon -number of balloons popped =  100 - 5 = 95.

The part of the balloons could be blown up is;