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# If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?  [#permalink]

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22 Jan 2019, 01:56
00:00

Difficulty:

25% (medium)

Question Stats:

69% (00:53) correct 31% (01:08) wrong based on 62 sessions

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If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?

A 10
B 20
C 40
D 60
E 80

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Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?  [#permalink]

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22 Jan 2019, 02:01
1
Bunuel wrote:
If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?

A 10
B 20
C 40
D 60
E 80

6b + 10c = 20

2(3b + 5c) = 20

3b + 5c = 10

Given ,

a + 3b + 5c = 30

a + 10 = 30

a = 20

4a = 20*4

4a = 80.

Senior Manager
Joined: 12 Sep 2017
Posts: 302
Re: If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?  [#permalink]

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03 Mar 2019, 12:20
0a + 6b + 10c = 20 (1)

a + 3b + 5c = 30 (-2)

-2a + 0b + 0c = -40

a = 20 x 4 = 80

E
Re: If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a?   [#permalink] 03 Mar 2019, 12:20
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