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
Answers
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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Step-by-step explanation:
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Plot the coordinate points (0, -5) and (4, -8)
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Answers
Answer:
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Step-by-step explanation:
10+20= 30
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B $30
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Answers
Step by Step~
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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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Answer:
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Answers
Answer:
No solution
Step-by-step explanation:
5x−4≥12 AND 12x+5≤−4
solve it separately
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Answers
Answer:
500.
Step-by-step explanation:
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Step-by-step explanation:
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Answers
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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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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--------------------------------------------------------------------
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Answers
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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Answers
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Answers
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15) x=1, x=1, x=2. These become the factors (x-1), (x-1), and (x-2). Then, by multiplying (x-1) and (x-1) you get x^2-2x+1. Multiply that by (x-2) to get your final answer, x^3-4x^2+5x-2.
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