a) x= 99.9 %and y = 20
b) x= 95% and y = 20
c) x = 91.7% and y=18
d) x= 86% and y= 18
Answers
24 ct Gold is the purest form of Gold available for our user. Apart from this, other forms of Gold are 22k, 18k, 15k etc. which are determined by the % of gold in the alloy with other metals.
Finding x:
In 22k, there are 22 parts of Gold out of 24. The percentage purity of Gold is:
➝
This is nearly equal to:
➝
So, the value of x i.e. % purity of gold in 22k is 91.7%
Finding y:
In 18k gold, there is 18 parts of Gold out of 24 parts of total alloy. Parts of Gold be
➝
y is the numerator of the fraction. So, y = 18.
The option that matches is Option (C) x = 91.7% and y = 18. And we are done! :D
Answer :
c) x = 91.7 % and y = 18.
Given :
carat. Parts purity
of gold in %
24 k = 24/24 = 99.99%
22 k = 22/24 = x
18 k = y =. 75
let's find :
x :- ( Percentage )
= 22/24 × 100
= 91.66 = 91.7
y :- ( parts of gold )
= that refers to the carat of gold given
= that is 18 so,
= 18/24
So, the values of x and y are 91.7 and 18.