A disaster relief team consists of engineers and doctors in the ratio

1.	A disaster relief team consists of engineers and doctors in the ratio of 2 : 5. (i) If there are 18 engineers, find the number of doc tors. (ii) If there are 65 doctors, find the number of engineers.
Answer» i) Ratio of engineers and doctors= 2 : 5 The number of engineers = 18 Let the number of doctors = x Now 2 : 5 :: 18 : x . By the rule of proportion 2x = 5 × 18 = \(\frac {5\times18}{2}\) = 45 ∴ The number of doctors 45 ii) Numbers of doctors = 65 Let the number of engineers = x then 2 : 5 :: x : 65 By the rule of proportion 5x = 2 × 65 x = \(\frac {2\times65}{2}\) = 26 ∴ The number of engineers = 26

A disaster relief team consists of engineers and doctors in the ratio of 2 : 5. (i) If there are 18 engineers, find the number of doc tors. (ii) If there are 65 doctors, find the number of engineers.

Answer»

i) Ratio of engineers and doctors= 2 : 5

The number of engineers = 18

Let the number of doctors = x

Now 2 : 5 :: 18 : x .

By the rule of proportion

2x = 5 × 18

= \(\frac {5\times18}{2}\) = 45

∴ The number of doctors 45

ii) Numbers of doctors = 65

Let the number of engineers = x then 2 : 5 :: x : 65

By the rule of proportion 5x = 2 × 65

x = \(\frac {2\times65}{2}\) = 26

∴ The number of engineers = 26