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Stacia has 28 red and blue marbles. The ratio of red to blue marbles is 1:6. How many blue marbles does Stacia have?

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Absor201idn

Answer:

  • The total number of blue marbles = 24

Step-by-step explanation:

Total number marbles Stacia has = 28

The ratio of red to blue marbles = 1 : 6

  • Let 'r' be the number of red marbles.
  • Let 'b' be the number of blue lines

As the total number of marbles is 28. Thus,

r + b = 28

As the ratio of red to blue marbles is 1 to 6.

It means for each red marble 'r', we have 6 blue 'b' marbles. Thus,

b = 6r

now substituting b = 6r in the equation r + b = 28

r + b = 28

r + 6r = 28

7r = 28

divide both sides by 7

7r/7 = 28/7

r = 4

Thus,

The total number of red marbles ⇒ r = 4

The total number of blue marbles ⇒ b = 6r = 6(4) = 24

Therefore,

  • The total number of blue marbles = 24
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