Question

In a group, the ratio of doctors to lawyers is 5:4. If the total number of people in the group is 72, what is the number of lawyers in the group?

Answer 1

Hello!

Let :

• Number of doctors be $\bf{5x}$
• Number of lawyers be $\bf{4x}$

Then,

5x + 4x = 72

⇒ 9x = 72

⇒ x = $\dfrac{\sf 72}{\sf 9}$ ⇒ $\boxed{\sf x = \sf 8}$

Hence,
There are = 4x = 4 × 8 = $\underline{\sf 32 \:lawyers}$ in the group.

Cheers!

Answer 2

Heya!

Ratio = 5 : 4
Then, let the doctors be 5x and lawyers, 4x

Number of people in the group = 72
That is, 5x + 4x = 72 or 9x = 72
Then, x = 8

Now, the number of lawyers = 4x = 8 × 4 = 32

Hope it helps! ^^