If 𝒂:𝒃:𝒄=𝟏:𝟑:𝟓, what is the value of 𝟒𝒂−𝒃+𝟐𝒄/3(𝒂+𝒃+𝒄)?Options8/2711/271/310/27

The given ratio is a:b:c = 1:3:5.

Step 1: Let's find the value of 4a - b + 2c. Substitute the given ratio values into the equation.

4a - b + 2c = 4(1) - 3 + 2(5) = 4 - 3 + 10 = 11.

Step 2: Now, let's find the value of 3(a + b + c). Substitute the given ratio values into the equation.

3(a + b + c) = 3(1 + 3 + 5) = 3(9) = 27.

Step 3: Now, let's find the value of (4a - b + 2c) / 3(a + b + c). Substitute the values from steps 1 and 2 into the equation.

(4a - b + 2c) / 3(a + b + c) = 11 / 27.

So, the value of (4a - b + 2c) / 3(a + b + c) is 11/27.