The composition of an animal is defined as the muscles, bones, and far of the animal. A scientist studied the composition of one young swamp buffalo and determined the buffalo had kilograms of muscle, which made up approximately % of its composition. Of the remaining composition of this buffalo, approximately % was bone, and the remainder was fat. Based on these approximations, to the nearest tenth, how many kilograms of this buffalo's composition was bone?
Enter a number or fraction, e.g. 5, 0.5, 1/2
Explanation
Answer:
Explanation:1. Understand the problem: The composition of an animal is muscle, bones, and fat. A young swamp buffalo has kg of muscle. Muscle makes up approximately % of its total composition. Of the *remaining* composition, approximately % is bone. The rest of the remaining composition is fat. We need to find the mass of the bone in kilograms, to the nearest tenth.
-
Calculate the total composition (total mass) of the buffalo: Let T be the total mass of the buffalo. We know that kg of muscle is % of T. So, kg. kg. kg.
-
Calculate the mass of the remaining composition: Remaining composition mass = Total mass - Muscle mass. Remaining composition mass = kg. Remaining composition mass kg.
-
Calculate the mass of the bone: The bone is 46.2% of the *remaining* composition. Bone mass = . Bone mass kg. Bone mass kg.
-
Round the bone mass to the nearest tenth: The calculated bone mass is approximately kg. Rounding to the nearest tenth gives kg.
-
Conclusion: Based on the approximations, the buffalo's composition that was bone is approximately kg.