A chemist mixes two liquids, A and B$,$ to form a homogeneous mixture. The densities of the liquids are $2\mathrm{.}0514$ g$/$mL for A and $2\mathrm{.}6678$ g$/$mL for B$.$ When she drops a small object into the mixture, she finds that the object becomes suspended in the liquid; that is$,$ it neither sinks nor floats. If the mixture is made of $41\mathrm{.}37$ percent A and $58\mathrm{.}63$ percent B by volume, what is the density of the metal?

Group of answer choices

$2\mathrm{.}413$ g$/$mL

$1\mathrm{.}753$ g$/$mL

$2\mathrm{.}691$ g$/$mL

$2\mathrm{.}015$ g$/$mL

$1\mathrm{.}913$ g$/$mL