Question

$750 is shared among three people in the ratio 2 : 4 : 9. How much is the largest share

Answer 1

Answer:

$450

Step-by-step explanation:

As the ratio is 2:4:9, let the shared parts are 2a, 4a and 9a.

Since 2a, 4a, 9a are the only parts of $750, they must add upto $750.

=> 2a + 4a + 9a = $750

=> 15a = $ 750

=> a = $ 750/15 = $50

As we can see 9 is the greatest number in ratio, 9a must be the greatest share.

Greatest share = 9a = 9($50)

= $ 450

Answer 2

Answer:-

$\red{\bigstar}$ Largest share $\large\leadsto\boxed{\rm\purple{\ 450}}$

• Given:-

$750 is shared among three people in ratio 2:4:9.

• To Find:-

The amount of largest share

• Solution:-

Let the ratio be 2x , 4x and 9x.

Now, that the amount is shared between 3 people. The sum of the above 3 ratio must result in the original amount.

Hence,

→ $\sf 2x + 4x + 9x = 750$

→ $\sf 15x = 750$

→ $\sf x = \dfrac{750}{15}$

→ $\sf x = 50$

Therefore, the shares are:-

• 2x → 2 × 50 = $100

• 4x → 4 × 50 = $200

• 9x → 9 × 50 = $450

Therefore, the largest share is $450.