Answer:not found
Explanation:
To find the value of the expression (4a + 6b/3a - b) + (4a/5b), we first need to determine the values of 'a' and 'b'.
Given that a:b = 6:5, we can set up the equation:
a/b = 6/5
To solve for 'a' and 'b', we can use a common factor. Let's assume that 'k' is the common factor:
a = 6k
b = 5k
Now, let's substitute the values of 'a' and 'b' into the expression:
(4(6k) + 6(5k))/(3(6k) - 5k) + (4(6k))/(5(5k))
Simplifying the expression:
(24k + 30k)/(18k - 5k) + (24k)/(25k)
Combining like terms:
54k/13k + 24k/25k
Simplifying further:
54/13 + 24/25
To add these fractions, we need a common denominator. The least common multiple of 13 and 25 is 325.
Converting the fractions to have a common denominator:
(54 * 25)/(13 * 25) + (24 * 13)/(25 * 13)
Calculating:
1350/325 + 312/325
Adding the fractions:
(1350 + 312)/325
Calculating:
1662/325
The value of the expression is 1662/325.
Therefore, the correct answer is not provided in the options given.