Question

Find the ratio a:b if it is given that 2a-b/6 = b/3, then what is a?

Answer 1

Answer:

a = b/4

Step-by-step explanation:

Note that the LCD in this equation is 6. Rewriting 2a-b/6 = b/3 using this LCD, we get:

2a-b/6 = 2b/6

Multiplying all three terms by 6 eliminates the fractions:

12a - b = 2b

Combining like terms:

12a = 3b

                                                       3b

Solving this for a, we get   a = ------------ = b/4

                                                       12

a = b/4