SOLUTION: If a/b=6/7 and a/c=2/5,what is the value of 3b+c in terms of a? (A)12a (B)9a (C)8a (D)6a (E)4a Thank you so much!

Algebra ->  Test -> SOLUTION: If a/b=6/7 and a/c=2/5,what is the value of 3b+c in terms of a? (A)12a (B)9a (C)8a (D)6a (E)4a Thank you so much!      Log On


   

Question 473685: If a/b=6/7 and a/c=2/5,what is the value of 3b+c in terms of a?
(A)12a
(B)9a
(C)8a
(D)6a
(E)4a
Thank you so much!
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a/b=6/7 and a/c=2/5,what is the value of 3b+c in terms of a?
---
b = 7a/6 ; c = 5a/2
---
3b + c = 3[7a/6] + 5a/2
---
3b + c = 7a/2 = 5a/2
---
3b + c = 12a/2
--
3b + c = 6a
====================
Cheers,
Stan H.

(A)12a
(B)9a
(C)8a
(D)6a
(E)4a

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If a/b=6/7 and a/c=2/5,what is the value of 3b+c in terms of a?
------------
a/b=6/7
7a = 6b
b = 7a/6
----------
a/c=2/5
5a = 2c
c = 5a/2
------
3b + c = 3(7a/6) + 5a/2
= 7a/2 + 5a/2
= 6a