Answer: There are 74 white marbles.
Step-by-step explanation:
Since we have given that
Total number of white and red marbles = 90
Let the number of red marbles be 'x'.
Let the number of white marbles be [tex]'5x-6'[/tex]
According to question, it becomes,
[tex]5x-6+x=90\\\\6x=90+6\\\\6x=96\\\\x=\dfrac{96}{6}\\\\x=16[/tex]
So, there are [tex]5x-6=5\times 16-6=80-6=74[/tex] white marbles.
Hence, there are 74 white marbles.