The value of ruby is 2.9. The value of the necklace is 5.86. The emerald is 5.86. The value of the question mark is 71.58.
Consider the first equation, let ruby be x so,
x+32/x=12
x+32=12x
11x=32
x=32/11
x=2.9
Therefore the value of ruby is 2.9.
Now, consider the second equation, let the necklace be y so,
y*2.9*y=100
=100/2.9
=34.4
y=
y=5.86
Therefore, the value of the necklace is 5.86.
Now, consider the third equation, let the value of emerald be z so,
z/5.86=1
z=5.86
Therefore, the value of the emerald is 5.86.
For last equation, substituting the above calculated values we get:
2.9+2(5.86)*5.86=?
=2.9+11.72*5.86
=2.9+68.68
=71.58
Therefore, the value of the question mark is 71.58