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 yellow balloons. How many balloons?

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?

1 Answer
iceman
Dec 13, 2017

#100#
#95%#

Explanation:

Let r, g & y be the number of red, green & yellow balloons, respectively, then:
#r=40#
#g=(3/5)r=(3/5)40=24#
#g=(2/3)y#
#(2/3)y=24#
#y=(24*3)/2=36#
total number of balloons was:
#40+24+36=100#
#40*1/20+24*1/12+1=2+2+1=5# => number of balloons popped
#100-5=95# => number of balloons that can be blown up
#95/100=95%#

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