A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less than 5 times the number of red marbles. How many white marbles are there?A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less than 5 times the number of red marbles. How many white marbles are there?

Respuesta :

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.