Question

if a:b=5:3, what percentage of 3a is (3a+4b)?
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Answer 1

Answer:

Given

$a \ratio \: b = 5 \ratio3$

$a \: = \frac{5}{5} + 3 = \frac{15}{8}$

$b \: = \frac{3}{5} + 3 = \frac{13}{8}$

Now,

$3a \: = 3 \times \frac{5}{8} = \frac{15}{8}$

$4b \: = 4 \times \frac{3}{8} = \frac{12}{8}$

Finding percentage

Let the number be x

$x\% \: of \: 3a = 3a + 4b$

$\frac{x}{100} \: of \: 3a \: = \frac{15}{8} + \frac{12}{8}$

$\</u><u>d</u><u>frac{x}{100} \times \frac{15}{8} = \frac{27}{8}$

$x = \frac{27 \times 100}{15}$

$x = 90 \times 2$

$x = 180\%$.

Answer 2

Step-by-step explanation:

Given :

• a : b = 5 : 3

To Find :

• what percentage of 3a is (3a+4b)?

Solution :

According to the Question :

• a is 5/5 + 3 = 5/8

• b is 3/5 + 3 = 3/8

3a = 3 × (5/8)

= 15/8

4b = 4 × (3/8)

= 12/8

3a is (3a + 4b)

Substitute all values :

x% of 3a = (3a + 4b)

(x/100) of 3a = ( 15/8 + 12/8)

x = (27 × 100)/15

= 9 × 20

= 180

180 % is answer