ANSWER
[tex]105[/tex]
EXPLANATION
Let the number of red ones be r.
Let the number of white ones be w.
Let the number of blue ones be b.
There are 305 M&Ms in the bag. This means that:
[tex]r+w+b=305[/tex]
There are three times as many red as white. This means that:
[tex]r=3w[/tex]
The blue are five more than twice the white. This means that:
[tex]b=5+2w[/tex]
We can substitute these into the first equation:
[tex]3w+w+5+2w=305[/tex]
Solve for w:
[tex]\begin{gathered} 3w+w+2w=305-5 \\ 6w=300 \\ w=\frac{300}{6} \\ w=50 \end{gathered}[/tex]
To find how many blue M&Ms are there, substitute the value of w into the equation for b:
[tex]\begin{gathered} b=5+2(50)=5+100 \\ b=105 \end{gathered}[/tex]
That is the number of blue M&Ms in the package.
