Answer :
Final answer:
To find the weight of each bear cub, one must assign a variable to Daisy's weight in ounces, apply the weight differences for Teddy and Boomer, and solve the resulting linear equation. The calculated weights of Daisy, Teddy, and Boomer are 264 pounds, 256 pounds, and 272 pounds respectively.
Explanation:
The student's question involves finding out how much each bear cub weighs individually if the total weight of all three cubs is known. We have Teddy weighing 128 ounces less than Daisy, Boomer weighing 128 ounces more than Daisy, and together they weigh 792 pounds.
Step-by-step Solution:
- Let's assign the weight of Daisy as D ounces.
- Teddy weighs D - 128 ounces, and Boomer weighs D + 128 ounces.
- To convert their total weight into ounces, multiply 792 pounds by 16, as there are 16 ounces in a pound. This gives us 792 * 16 = 12,672 ounces for the combined weight of the three cubs.
- Next, add the weights of all three cubs in ounces: D + (D - 128) + (D + 128) = 12,672 ounces.
- Combine like terms: 3D = 12,672 ounces.
- Divide both sides by 3 to solve for D: D = 12,672 / 3 = 4,224 ounces.
- Convert D back to pounds by dividing by 16: Daisy weighs 4,224 ounces / 16 = 264 pounds.
- Teddy weighs 128 ounces less than Daisy: 4,224 ounces - 128 ounces = 4,096 ounces, which is 256 pounds.
- Boomer weighs 128 ounces more than Daisy: 4,224 ounces + 128 ounces = 4,352 ounces, which is 272 pounds.
Therefore, Daisy weighs 264 pounds, Teddy weighs 256 pounds, and Boomer weighs 272 pounds.
