The price of a ring varies jointly with
1 answer:
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
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