Question

If

a.b = 2 : 3, find the value of (3a + 5b) : (3a – b)

Answer 1

Answer:

the value of (3a + 5b) : (3a – b) is 7:1.

Step-by-step explanation:

Ratio is used to compare the size of different parts of a whole.

1. To determine the total number of shares, add the ratio's component components together.

2. Subtract the sum from the total number of shares.

3. Increase by the necessary number of shares.

The following are the primary considerations for ratio problems:

• If necessary, change the quantities' units to the same one.
• As a fraction, write the ratio's components.
• Make that the numerator and denominator include the same items.

Given: a:b = 2 : 3

Find: The value of (3a + 5b) : (3a – b)

$\frac{a}{b} =\frac{2}{3}$

$\Rightarrow a=\frac{2b}{3}$

Now,

$\frac{3a+5b}{3a-b}$

Substitute $a=\frac{2b}{3}$

$\frac{3(\frac{2b}{3} )+5b}{3(\frac{2b}{3} )-b} \\\\=\frac{2b+5b}{2b-b} \\=\frac{7b}{b} \\=7:1$

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Answer 2

Answer:

The value of (3a + 5b) : (3a - b ) = 7:1.

Step-by-step explanation:

Given: a:b =2:3

To find : The value of (3a + 5b):(3a-b)

Solution :

Ratio: Ratio is the comparison between the quantities of two or more things.

Ratios can be expressed as fractions.

a:b =  2:3 ⇒ a/b = 2/3

               ⇒3a =2b  -------eq.(1)

Then, (3a + 5b) : (3a - b) = (3a + 5b)

                                             (3a - b)

Now, substituting 3a = 2b from eq.(1)

(3a + 5b) : (3a-b) = (2b + 5b) = 7b = 7

                                (2b - b)       b      1

(3a + 5b) : (3a -b) = 7:1

∴ , the value of (3a + 5b): (3a - b) = 7:1

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