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Free_Kalibri [48]
11 months ago
7

A bag contains 50 blue marbles and 66 red marbles. If 88 more red marbles are added to the bag, how many more blue marbles must

be added so that 5/12 of the total number of marbles in the bag are blue?
Mathematics
1 answer:
vaieri [72.5K]11 months ago
7 0

Answer:

60

Step-by-step explanation:

After adding 88 red marbles, there are 50 blue marbles out of the 204 marbles total.

Let the number of blue marbles to be added be x.

\frac{50+x}{204+x}=\frac{5}{12} \\ \\ 600+12x=1020+5x \\ \\ 420=7x \\ \\ x=60

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Answer:

The correct answer is x = 3 and y = 2.

Step-by-step explanation:

There are many ways to solve systems of equations like this, but I'm going to use substitution.  This means taking the value of y given by the second equation and plugging it into the first equation.  This is modeled below:

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Now, we can simplify the left side of the equation.

2x + 2x - 8 = 4

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We should add 8 to both sides as the next step.

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Now we can divide by 4.

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To solve for y, we can substitute this value found for x back into either one of our original equations.

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Hope this helps!

5 0
2 years ago
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Answer:

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Step-by-step explanation:

Given that,

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Step-by-step explanation:

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