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If a:b=6: 5. Find the value of

(4a + 6b/3a - b) + (4a/5b)
A. -73
B. 73
C. -7.03
D. 7.03​

User Aboutstudy
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1 Answer

2 votes

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.

User Paralife
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