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A ratio
is a comparison of two quantities.
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A ratio
of one number to another number
is the quotient of the first
number divided by the second number.
(Where the second
number is not zero.)
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Ratios are most commonly written
as a fraction. |
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It's
a fraction! |
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A
ratio can be written in a variety of ways:
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Since
a ratio can be written as a fraction, it can also be written in
any form that is equivalent to that fraction. All of the
following are equivalent:
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Terms
used with ratios:
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Continued
Ratio:
(the
comparison for more than two quantities) |
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Equivalent
Ratios:
(all
reduce to the same value) |
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Hint: |
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When working with ratios
such as
2
: 3 : 5, use 2x,
3x, and 5x
to write an equation! |
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Example:
A teacher graded
180 bonus quizzes during the school year.
The number of quizzes receiving A's, B's, and C's
were in the ratio of 5 : 3 : 1, respectively.
Find the number of bonus quizzes that received a grade of A
for the school year.
Solution:
Represent
the number of each grade as 5x, 3x and 1x.
Since there were 180 bonus quizzes in total, we have:
5x + 3x + x = 180
9x = 180
x = 20
Since the 5x represents the number of A's, substitute to find the final
answer.
5(20) = 100
100 bonus quizzes received an A
ANSWER
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