Question

A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of red marbles. How many purple marbles are there?

Answer 1

There are 26 purple marbles in the bag.

Explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

`purple = 2 + 3x`

`red = x`

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

`2 + 3x + x = 34`

`4x = 32`

`x = 32 / 4`

`x = 8`

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

`purpe = 2 + 3(8)`

`purple = 26`