Question

3. Two quantities, p and q, are in direct proportion. The sum of the values of q when p = 6 and when p = 11 is 51.

(a) Find an equation connecting p and q. (b) Find the value of p when q = 72.​

Answer 1

Explanation:

this just means

q = k×p

and we need to find k.

the sum of both q values when p = 6 and p = 11 is then

k×6 + k×11 = 51

17k = 51

k = 51/17 = 3

so, our equation is

q = 3p

and when q = 72

72 = 3p

p = 72/3 = 24