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

Answer:

There are 26 purple marbles in the bag.

Step-by-step 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 :

$2 + 3x + x = 34$

$4x = 32$

$x = 32 \div 4$

$x = 8$

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

Let x = 8,

$purpe = 2 + 3(8)$

$purple = 26$