exam Maths Puzzle Numerical Ability

There are 258 people, adults pay $8 and the children pay $5 to go to a movie theater. The total sum of money the movie theater made that night from selling tickets was $1431. How many children were there.

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Here is my problem -4/9 < 2/3 c
when i do this problem i get c<-2/3
when i put this problem in a solver
it seems the fraction is switched to c<-3/2
why? Problem:
Write the equation of the line with the given slope and y-intercept. Then graph the line using the slope and y-intercept.
Slope:-3/4 ; y-intercept: (0, 8)