Question

The ratio 4:b = 7:a express a in terms of b

Answer 1

a = (7/4) * b

Explanation:

To express "a" in terms of "b" from the ratio:

4 : b = 7 : a

You can use the property of ratios that states if two ratios are equal, then the cross-products are also equal:

4 * a = 7 * b

Now, solve for "a" by dividing both sides by 4:

a = (7 * b) / 4

So, "a" in terms of "b" is:

a = (7/4) * b

Answer 2

a =
`(7)/(4)` b

Explanation:

given the ratio

4 : b = 7 : a

express the ratio in fractional form

`(4)/(b)` =
`(7)/(a)` ( cross- multiply )

4a = 7b ( divide both sides by 4 )

`(4)/(4)` a =
`(7)/(4)` b , that is

a =
`(7)/(4)` b