SOLUTION: The ratio of dogs to cats in the kennel is 5 to 8. If there are 240 cats in the kennel, how many dogs are there? At autoland, the ratio of used cars to new cars is 4 tom3. If

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of dogs to cats in the kennel is 5 to 8. If there are 240 cats in the kennel, how many dogs are there? At autoland, the ratio of used cars to new cars is 4 tom3. If       Log On


   



Question 754510: The ratio of dogs to cats in the kennel is 5 to 8. If there are 240 cats in the kennel, how many dogs are there?

At autoland, the ratio of used cars to new cars is 4 tom3. If there are 96 cars, how many used cars are there?
The train travels 7 miles for every 5 miles the bus travels. If the bus travels 250 miles, how far does the train travel?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of dogs to cats in the kennel is 5 to 8. If there are 240 cats in the kennel, how many dogs are there?
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Ans: 5 to 8 is the same as 5x to 8x where 5x is the number of dogs.
Equation:
5x + 8x = 240
13x = 240
x = 18.46
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# of= 5x = 5*18.46 = 92
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At autoland, the ratio of used cars to new cars is 4 tom3. If there are 96 cars, how many used cars are there?
Equation:
4x is # of used cars
Equation:
4x + 3x = 96
7x = 96
x = 13.7
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# of used cars 4x = 4*13.7 = 55
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The train travels 7 miles for every 5 miles the bus travels. If the bus travels 250 miles, how far does the train travel?
Ans: train distance = 7x
7x + 5x = 250
12x = 250
x = 20.83
train dist = 7x = 7*20.83 = 146 miles
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Cheers,
Stan H.
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