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There are 16 red shirts and some black shirts hanging in the store. The ratio of the number of red shirts to that of black shirts is 2:3. If 5 red shirts are added into the box, what is the new ratio?

Respuesta :

Answer:

If 5 red shirts are added into the box,    7 : 8  is the new ratio.

Step-by-step explanation:

The number of red shirts =  16

Let the number of black shirts = k

Now as the ratio of Red Shirts : Black Shirt = 2 : 3

By RATIO OF PROPORTIONALITY:

⇒[tex]\frac{16}{k}  = \frac{2}{3}[/tex]

or, [tex]k = 16 \times  \frac{3}{2}   = 24[/tex]

Hence, the number of Black Shirts in the Store = 24

Now, new number pf red shirts = 16 + 5 = 21

So, by the proportionality again,  ratio is

[tex]\frac{21}{24}  = 7:8[/tex]

Hence, the new ratio of Red shirts : Black Shirts =  7 : 8

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