SOLUTION: The ratio of bluebirds is parakeets in a cage is 2 to 3. If there are 18 bluebirds in the cage how many parakeets are there Which ratio is equivalent to 2 bluebirds to 3 parakeets

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The ratio of bluebirds is parakeets in a cage is 2 to 3. If there are 18 bluebirds in the cage how many parakeets are there Which ratio is equivalent to 2 bluebirds to 3 parakeets      Log On


   

Question 1109438: The ratio of bluebirds is parakeets in a cage is 2 to 3. If there are 18 bluebirds in the cage how many parakeets are there
Which ratio is equivalent to 2 bluebirds to 3 parakeets
Found 2 solutions by stanbon, greenestamps:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of bluebirds is parakeets in a cage is 2 to 3. If there are 18 bluebirds in the cage how many parakeets are there
Which ratio is equivalent to 2 bluebirds to 3 parakeets
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# of bluebirds = 2x
# of parakeets = 3x
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Equation::
2x + 3x = 18
5x = 18
x = 18/5
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# of bluebirds = 2x = 36/5 = 7 1/5
# of parakeets = 3x = 54/5 = 10 4/5
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Cheers,
Stan H.
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Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


You can't have fractional numbers of birds, so the other tutor's answer is clearly not right. In fact he got the wrong answer by using 18 as the total number of birds, instead of the number of bluebirds.

Here are a couple of different solution methods....

using ratio and proportion...
The ratio of bluebirds to parakeets is 2:3 = 18:x. So 2x = 18*3 = 54; x = 27.

also using ratio and proportion but showing the ratios as fractions...
2%2F3+=+18%2Fx
2x+=+18%2A3 ["cross multiply"]
2x+=+54
x+=+27

using algebra...
To represent the ratio of 2 to 3, let the number or bluebirds be 2x and the number of parakeets be 3x. Then since the number of bluebirds is 18,
2x+=+18
x+=+9
The number of parakeets is 3x = 27.