Question

The price of a ring varies jointly with

Answer 1

Answer:

d = 27

Step-by-step explanation:

Let price = p

Number of diamonds = d

Weigh of gold = w

Hence,

P α d^1/3w

P = kd^1/3 * w

k = proportionality constant

P = 10000 ; d = 64 ; w = 15

We can obtain the value of k

10000 = k * 64^1/3 * 15

10000 = k * 4 * 15

10000 = 60k

k = 10000 / 60

Hence,

P = (10000/60)*d^(1/3)*g

To find the number of d ; when P = 10500 ; g = 21

10500 = (10000/60)*d^1/3 * 21

10500 = 3500 * d^1/3

10500 / 3500 = d^1/3

3 = d^1/3

3³ = d

27 = d