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WITCHER [35]
3 years ago
8

Drew has 50 red,green,and blue marbles. he has six more red marbles than blue marbles and four fewer green marbles than blue mar

bles write and solve an equation to determine how many blue marbles drew has.
Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Red = r

Blue = b

Green = g


Step 1: Write as algebraic equations.

r = b + 6

g = b - 4


Step 2: Merge the two equations together to form one, by adding them together.

r + g = b + b + 6 - 4


Step 3: Simplify.

r + g = 2b + 2


Step 4: Make b the subject.

2b + 2 = r + g

2b = r + g - 2

b = 0.5(r + g - 2)


ANSWER

b = 0.5(r + g - 2)

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B. Number of time she spend running everyday is: 15 minutes.

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<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

<u>Part A:</u> To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

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x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

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2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

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