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# If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a poss

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Math Expert
Joined: 02 Sep 2009
Posts: 48037
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a poss  [#permalink]

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13 Jul 2018, 00:55
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Difficulty:

25% (medium)

Question Stats:

72% (01:19) correct 28% (01:42) wrong based on 50 sessions

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If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?

A. $$5\frac{3}{5}$$

B. $$6$$

C. $$8\frac{2}{5}$$

D. $$9$$

E. $$12$$

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Re: If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a poss  [#permalink]

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13 Jul 2018, 01:04
Bunuel wrote:
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?

Plugging in numbers, we get
c= 9
3b + 2(9) = 18
3b + 18 = 18
3b = 0
b = 0
As per the question b cannot be 0, since bc ≠ 0

Hence, D.
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If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a poss  [#permalink]

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13 Jul 2018, 06:36
Bunuel wrote:
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?

A. $$5\frac{3}{5}$$

B. $$6$$

C. $$8\frac{2}{5}$$

D. $$9$$

E. $$12$$

We can use back solving strategy here.

Note :

bc ≠ 0

Neither b nor c is o. ******

Given,

3b + 2c = 18

3b + 2(9) = 18

3b = 0

b = 0.

Thus 9 can be the value of c.

If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a poss &nbs [#permalink] 13 Jul 2018, 06:36
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