Question

before the clowns arrived, only 35% of the children had happy faces. If 117 children did not have happy faces, how many children were there in all?

Answer 1

180

Answer 2

how would i write that in a ratio box? @eHoaX

Answer 3

so if 35% of them are happy then the sad one would be 65% because the max percent is 100%. so we know 117 are sad

let x represent the total amount of kids

x*0.65=117

solve for x and you get 180

Answer 4

@eHoaX how would i set the corresponding proportion, and set the equation up algebraically, and solve it?

Answer 5

so 65% corresponds to 117 and 35% corresponds to an unknown number

so

\[\frac{ 35 }{ 65 }=\frac{ x }{ 117 }\]

where x is the number of happy kids

Answer 6

this x is different from the other x

in order to get the total amount you have to add it to 117