In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?

A. 50
B. 75
C. 35
D. 105
E. 95 ​

In A Patriotic Bag Of Red, White And Blue M&Ms, It Is Found That There Are 305 M&Ms. There Are

Answers

Answer 1

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


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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

5x−4≥12 AND 12x+5≤−4

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Answers

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Answer: 705 cm

Step-by-step explanation:

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525

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Answer:

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Step-by-step explanation:

Please recheck your question.

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Answers

youre answer is C because you multiply 4$ by it’s self seven times 4x7=28
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