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Sonja caught three fish. The weights of the fish were \( 2 \mathrm{lb} 10 \mathrm{oz}, 2 \mathrm{lb} 8 \mathrm{oz} \), and 2 lb 11 oz . What was the total weight of the three fish? ( \( 1 \mathrm{lb}=16 \mathrm{oz} \) ) Provide your answer below:

Ask by Clarke Bird. in the United States
Jan 27,2025

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Answer

The total weight of the three fish is 7 lb 13 oz.

Solution

To find the total weight of the three fish, let's add the pounds and ounces separately. **Weights of the fish:** - Fish 1: 2 lb 10 oz - Fish 2: 2 lb 8 oz - Fish 3: 2 lb 11 oz **Step 1: Add the pounds** \[ 2 \, \text{lb} + 2 \, \text{lb} + 2 \, \text{lb} = 6 \, \text{lb} \] **Step 2: Add the ounces** \[ 10 \, \text{oz} + 8 \, \text{oz} + 11 \, \text{oz} = 29 \, \text{oz} \] **Step 3: Convert ounces to pounds if necessary** Since \( 16 \, \text{oz} = 1 \, \text{lb} \): \[ 29 \, \text{oz} = 1 \, \text{lb} \, 13 \, \text{oz} \] **Step 4: Add the extra pound to the total pounds** \[ 6 \, \text{lb} + 1 \, \text{lb} = 7 \, \text{lb} \] **Final Total Weight:** \[ 7 \, \text{lb} \, 13 \, \text{oz} \] **Answer:** The total weight of the three fish is **7 lb 13 oz**.

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Bonus Knowledge

First, let's convert the weights of the fish from pounds and ounces to just ounces. For the first fish: \( 2 \text{ lb} 10 \text{ oz} = (2 \times 16) + 10 = 32 + 10 = 42 \text{ oz} \) For the second fish: \( 2 \text{ lb} 8 \text{ oz} = (2 \times 16) + 8 = 32 + 8 = 40 \text{ oz} \) For the third fish: \( 2 \text{ lb} 11 \text{ oz} = (2 \times 16) + 11 = 32 + 11 = 43 \text{ oz} \) Now, adding them together: \( 42 \text{ oz} + 40 \text{ oz} + 43 \text{ oz} = 125 \text{ oz} \) Now, we can convert this back to pounds and ounces. Since \( 1 \text{ lb} = 16 \text{ oz} \), we divide: \( 125 \text{ oz} \div 16 = 7 \text{ lb} \) with \( 13 \text{ oz} \) remaining (since \( 125 - 112 = 13 \)). So, the total weight of the three fish is \( 7 \text{ lb} 13 \text{ oz} \).

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