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 $\frac{1}{20}$.

Step-by-step explanation:

Since we have given that

Number of red balloons = 40

Number of green balloons is given by

$\frac{3}{5}\times 40\\\\=3\times 8\\\\=24$

Number of yellow balloons is given by

$24\times \frac{3}{2}\\\\=12\times 3\\\\=36$

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

$\frac{1}{20}\times 40\\\\=2$

Number of green balloons are popped is given by

$\frac{1}{12}\times 24\\\\=2$

Number of yellow balloons are popped is given by

$\frac{1}{36}\times 36\\\\=1$

total number of balloons are blown up is given by

$2+2+1=5$

Therefore, Part of balloon is blown up is given by

$\frac{5}{100}=\frac{1}{20}$

Hence, Total number of balloons are 100

and part of balloon is blown up is $\frac{1}{20}$.