Question

A bag contains purple marbles in real marbles 34 in total the number of purple marbles is less than five times the number of red marbles how many purple marvels are there

Answer 1

28 purple marbles.

Explanation:

Please consider the complete question.

A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 less than five times the number of red marbles. How many purple marbles are there?

Let R represent number of red marbles.

Since the number of purple marbles is 2 less than five times the number of red marbles, so number of purple marbles would be
`5r-2`.

We are told that total marbles in the bag are 34, so we can represent this information in an equation as:

`r+5r-2=34`

Let us solve for r.

`6r-2=34`

`6r-2+2=34+2`

`6r=36`

`(6r)/(6)=(36)/(6)`

`r=6`

Therefore, there are 6 red marbles.

Number of purple marbles would be
`5r-2\Rightarrow 5(6)-2=30-2=28`.

Therefore, there are 28 purple marbles.