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zvonat [6]
3 years ago
9

The ratio of blue marbles to red marbles in a box is 3 to 2. if there are 12 blue marbles in a box then how many red marbles are

there?
Mathematics
2 answers:
Ymorist [56]3 years ago
8 0

Answer:

8 red marbles.

Step-by-step explanation:

The ratio is 3:2, blue to red. If there's 12 blue marbles and the first part of the ratio's 3, then:

12/3=4

Then you take the 4 and multiply it by 2, the second half of the ration to get 8.

And so, the answer's 8. If you divide 12:8 by 4 each you get your original ratio of 3:2, so that's your way to check.

valkas [14]3 years ago
6 0
The answer is: 8 red marbles!

This is because the equation can be written out like this
Blue to red - 3:2
Now it is, blue to red - 12:x

We have to think, what is the difference from the first equation to the second. We know the number 3 times 4 = 12, so we would do the same for the red, 2 times 4=8

If this helped, give me brainliest :)
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\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x =  \frac{20}{7}  \\ ⇢ x = 2.857

{ \bf{ \underbrace{To\:verify:}}}

6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times(  - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\  ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S

Hence verified.

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