A Person Who Weighs 550 N Empties Her Lungs $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water of density $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ while suspended from a harness. Her apparent weight is now 21.2 N. What is her density?

A) $960 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
B) $56.1 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
C) $1050 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
D) $1040 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
E) $1030 \mathrm {~kg} / \mathrm { m } ^ { 3 }$