There are 24 purple marbles and 12 yellow marbles
Solution:
Let "y" be the number of yellow marbles
Let "p" be the number of purple marbles
Given that, a bag contains half as many yellow marbles as purple marbles
Therefore, number of yellow marbles = half of number of purple marbles
y = half of p
[tex]y = \frac{p}{2}[/tex]
2y = p ---- eqn 1
There are 36 marbles in the bag
number of yellow marbles + number of purple marbles = 36
y + p = 36 ---- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
y + 2y = 36
3y = 36
y = 12
Substitute y = 12 in eqn 2
12 + p = 36
p = 36 - 12
p = 24
Thus there are 24 purple marbles and 12 yellow marbles
