Question

If a/ b = 6/7 and a/c = 2/5 , what is the value of 3b+c in terms of a?

Answer 1

Not sure. has the same question

Answer 2

Answer:  6a

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Explanation:

Solve the first equation for b

a/b = 6/7

7a = 6b ... cross multiply

6b = 7a

b = 7a/6 ... divided both sides by 6

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Solve the second equation for c

a/c = 2/5

5a = 2c

2c = 5a

c = 5a/2

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We found that

• b = 7a/6
• c = 5a/2

both are in terms of a

So,

3b+c = 3(7a/6) + 5a/2

3b+c = 21a/6 + 5a/2

3b+c = 7a/2 + 5a/2

3b+c = (7a+5a)/2

3b+c = 12a/2

3b+c = 6a