Respuesta :
Answer:
28 purple marbles.
Step-by-step 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 [tex]5r-2[/tex].
We are told that total marbles in the bag are 34, so we can represent this information in an equation as:
[tex]r+5r-2=34[/tex]
Let us solve for r.
[tex]6r-2=34[/tex]
[tex]6r-2+2=34+2[/tex]
[tex]6r=36[/tex]
[tex]\frac{6r}{6}=\frac{36}{6}[/tex]
[tex]r=6[/tex]
Therefore, there are 6 red marbles.
Number of purple marbles would be [tex]5r-2\Rightarrow 5(6)-2=30-2=28[/tex].
Therefore, there are 28 purple marbles.
