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36a = 25b ab ≠ 0
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14 May 2017, 05:01
14 May 2017, 05:01
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66% (00:56) correct
33% (00:48) wrong based on 115 sessions
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36a = 25b
ab ≠ 0
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
ab ≠ 0
Quantity A |
Quantity B |
\(\frac{5}{6}\) |
\(\frac{a}{b}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Drill 1
Question: 8
Page: 338
Question: 8
Page: 338
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Re: 36a = 25b ab ≠ 0
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16 May 2017, 07:31
16 May 2017, 07:31
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sandy wrote:
36a = 25b
ab ≠ 0
ab ≠ 0
Quantity A |
Quantity B |
\(\frac{5}{6}\) |
\(\frac{a}{b}\) |
Quantity A: 5/6
Quantity B: a/b
Take the given equation, 36a = 25b, and solve for a to get: a = 25b/36
Take quantity B and replace a with 25b/36
We get:
Quantity A: 5/6
Quantity B: (25b/36)/b
Simplify:
Quantity A: 5/6
Quantity B: 25b/36b
Simplify:
Quantity A: 5/6
Quantity B: 25/36
Rewrite quantity A as EQUIVALENT fraction:
Quantity A: 30/36
Quantity B: 25/36
Answer:
Show: ::
A
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Re: 36a = 25b ab ≠ 0
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04 Jun 2017, 14:55
04 Jun 2017, 14:55
2
Expert Reply
Explanation
Divide both sides by b, then divide both sides by 36 to find: \(\frac{a}{b}=\frac{25}{36}\).
Use the Bowtie to compare the two fractions:
36 times 5 equals 180, while 6 times 25 equals 150. 180 is bigger, so Quantity A is greater.
Divide both sides by b, then divide both sides by 36 to find: \(\frac{a}{b}=\frac{25}{36}\).
Use the Bowtie to compare the two fractions:
36 times 5 equals 180, while 6 times 25 equals 150. 180 is bigger, so Quantity A is greater.
