Question 1167424
4/10 of the balloons are blue.
2/5 are red.
the rest are yellow.


there are 8 yellow balloons.


4/10 are blue and 2/5 are red.


4/10 + 2/5 = 4/10 + 4/10 = 8/10 of the balloons that are either blue or red.


that leaves 2/10 of the balloons that are yellow.


let x = the number of balloons.


since 2/10 of the balloons are yellow, then the number of yellow balloons is 2/10 * x.


since the number of yellow balloons is 8, then 2/10 * x = 8


solve for x to get x = 10/2 * 8 = 40.


the number of balloons is 40.


4/10 are blue = 4/10 * 40 = 16


2/5 are red = 2/5 * 40 = 16


2/10 are yellow = 2/10 * 40 = 8


total number of balloons is 2 * 16 + 8 = 40


your solution is that the number of balloons in all is 40.