To solve the problem, let's follow these steps:
1. Understand the weight of the adult meerkat:
- The adult meerkat weighs 0.776 kilograms.
2. Understand the weight difference between the adult and baby meerkats:
- The weight difference is given as 7.47 hectograms.
- Recall that 1 hectogram is equivalent to 0.1 kilograms. Therefore, 7.47 hectograms is equal to [tex]\( 7.47 \times 0.1 = 0.747 \)[/tex] kilograms.
3. Determine the weight of the baby meerkat:
- The adult meerkat's weight is 0.776 kilograms.
- Since the baby meerkat is 0.747 kilograms lighter than the adult meerkat, subtract this difference from the adult meerkat’s weight:
[tex]\[
0.776 \, \text{kg} - 0.747 \, \text{kg} = 0.029 \, \text{kg}
\][/tex]
Therefore, the baby meerkat weighs 0.029 kilograms.
The correct answer is [tex]\( \boxed{0.029 \, \text{kg}} \)[/tex].