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 are 100

and part of balloon is blown up is .

Step-by-step explanation:

Since we have given that

Number of red balloons = 40

Number of green balloons is given by

Number of yellow balloons is given by

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

Number of red balloons are popped is given by

Number of green balloons are popped is given by

Number of yellow balloons are popped is given by

total number of balloons are blown up is given by

Therefore, Part of balloon is blown up is given by

Hence, Total number of balloons are 100

and part of balloon is blown up is .

nlgqer

step-by-step

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1