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Sunday, August 21, 2022

The price of a diamond is proportional to the square of its mass, which is measured in carats. A 6 carat diamond was broken into two parts and total price of the two pieces is $\frac{5}{8}$ th of the price of original diamond. The masses (in carat) of two pieces are

The price of a diamond is proportional to the square of its mass, which is measured in carats. A 6 carat diamond was broken into two parts and total price of the two pieces is $\frac{5}{8}$ th of the price of original diamond. The masses (in carat) of two pieces are
A3.5 and 2.5
B5 and 1
C4.5 and 1.5
D3.2 and 2.8

Correct answer is: 4.5 and 1.5

Explanation:

Actual price of diamond = k×62

= 36k where k is constant of proportionately.
New price of diamond

=kx12+kx22

=36k×58=k(x12+x22)

=452=x12+x22

=22.5=x12+x22

=(4.5)2+(1.5)2=x12+x22

Nithin
answered undefined

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