Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?
- A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of red M&Ms.
- Variable y: Number of white M&Ms.
- Variable z: Number of blue M&Ms.
There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
To learn more about system of equations, you can take a look at https://brainly.com/question/24823220
