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3k-12j/9 vs k-4j/3
[#permalink]
04 Mar 2018, 13:39
04 Mar 2018, 13:39
1
Expert Reply
00:00
Question Stats:
83% (00:23) correct
16% (00:24) wrong based on 98 sessions
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Quantity A |
Quantity B |
\(\frac{3k-12j}{9}\) |
\(\frac{k-4j}{3}\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 2
Page: 493
Question: 2
Page: 493
Re: 3k-12j/9 vs k-4j/3
[#permalink]
04 Mar 2018, 14:05
04 Mar 2018, 14:05
Expert Reply
Explanation
You can find the two quantities to be equal by plugging in values for k and j: If k = 2 and j = 3,
then Quantity A is \(\frac{3(2)-12(3)}{9}\), or \(\frac{-30}{9}\) which can be reduced to \(\frac{-10}{3}\).
Quantity B is \(\frac{2-4(3)}{3}\)or \(\frac{-10}{3}\).
Algebraically, try factoring and canceling a 3 out of the numerator of
Quantity A: \(\frac{3k-12j}{9}=\frac{3(k-4j)}{3 \times 3}=\frac{k-4j}{3}\).
You can find the two quantities to be equal by plugging in values for k and j: If k = 2 and j = 3,
then Quantity A is \(\frac{3(2)-12(3)}{9}\), or \(\frac{-30}{9}\) which can be reduced to \(\frac{-10}{3}\).
Quantity B is \(\frac{2-4(3)}{3}\)or \(\frac{-10}{3}\).
Algebraically, try factoring and canceling a 3 out of the numerator of
Quantity A: \(\frac{3k-12j}{9}=\frac{3(k-4j)}{3 \times 3}=\frac{k-4j}{3}\).
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Re: 3k-12j/9 vs k-4j/3
[#permalink]
05 Mar 2018, 09:23
05 Mar 2018, 09:23
1
sandy wrote:
Quantity A |
Quantity B |
\(\frac{3k-12j}{9}\) |
\(\frac{k-4j}{3}\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 2
Page: 493
Question: 2
Page: 493
We can solve this question using matching operations
Given:
Quantity A: (3k - 12j)/9
Quantity B: (k - 4j)/3
Eliminate fractions by multiplying both quantities by 9 (the least common multiple of 9 and 3) to get:
Quantity A: 3k - 12j
Quantity B: 3(k - 4j)
Expand Quantity B to get:
Quantity A: 3k - 12j
Quantity B: 3k - 12j
We can see the two quantities are EQUAL
Answer: C
Cheers,
Brent
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