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

let the ratio be = 5x, 4x
total number of people given = 72
....................
now we get an equation = 5x+4x=72
.................
5x +4x = 72
........9x = 72
X= 72/9
X = 8
••now the number of lawyers= 4×8= 32
••and number of doctors = 8×5= 40

Answer 2

Given, the ratio of doctors to lawyers is 5 : 4

Let the constant be x

So, let the number of doctors be 5x and number of lawyers be 4x

Given, total number of doctors and lawyers in the group is 72.

So, let the sum be 72


According to the question,

5x + 4x = 72

➾ 9x = 72

➾ x = $\dfrac{72}{9}$

➾ x = 8



♠ Total number of doctors ➾ 5x

➾ 5 × 8

➾ $\red{\boxed{\boxed{\boxed{40}}}}$



♠ Total number of lawyers ➾ 4x

➾ 4 × 8

➾ $\red{\boxed{\boxed{\boxed{32}}}}$




∴ Total number of lawyers ➾ $\blue{\underline{\underline{32}}}$



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