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Answer :
Certainly! Let's break down the problem step-by-step.
First, we need to understand two key aspects: how much weight Sue Mitchell has gained since birth, and her average weight per year until now, given that she is 13 years old.
### 1. Calculating Weight Gain Since Birth
Sue's birth weight was 8 pounds and 13 ounces.
Her current weight is 93 pounds and 5 ounces.
To calculate how much weight she has gained:
1. Convert both weights to ounces because it's easier to subtract them that way as there are 16 ounces in a pound.
- For her birth weight:
- 8 pounds = [tex]\( 8 \times 16 = 128 \)[/tex] ounces
- Total birth weight = 128 + 13 = 141 ounces
- For her current weight:
- 93 pounds = [tex]\( 93 \times 16 = 1488 \)[/tex] ounces
- Total current weight = 1488 + 5 = 1493 ounces
2. Subtract the total ounces of her birth weight from her current weight:
- Weight gain in ounces = 1493 - 141 = 1352 ounces
3. Convert the weight gain back to pounds and ounces:
- 1352 ounces = (1352 ÷ 16) = 84 pounds with a remainder.
- Calculate the remainder to find excess ounces: 1352 % 16 = 8 ounces
So, Sue has gained a total of 84 pounds and 8 ounces since birth.
### 2. Calculating Average Weight Per Year
To find the average weight for each year over the 13 years:
1. Total weight in ounces at the age of 13 is already calculated as 1493 ounces.
2. Average weight per year:
- Divide the total weight in ounces by her age in years: 1493 ounces ÷ 13 years = approximately 114.8461538 ounces per year
3. Convert this average back to pounds and ounces:
- 114.85 ounces ≈ (114.85 ÷ 16) = 7 pounds with a remainder.
- Calculate the remainder to find the excess ounces: 114.85 % 16 = approximately 2.85 ounces
Therefore, Sue’s average weight per year is approximately 7 pounds and 2.85 ounces.
To summarize:
- Sue has gained 84 pounds and 8 ounces since birth.
- Her average weight per year over the 13 years has been approximately 7 pounds and 2.85 ounces.
First, we need to understand two key aspects: how much weight Sue Mitchell has gained since birth, and her average weight per year until now, given that she is 13 years old.
### 1. Calculating Weight Gain Since Birth
Sue's birth weight was 8 pounds and 13 ounces.
Her current weight is 93 pounds and 5 ounces.
To calculate how much weight she has gained:
1. Convert both weights to ounces because it's easier to subtract them that way as there are 16 ounces in a pound.
- For her birth weight:
- 8 pounds = [tex]\( 8 \times 16 = 128 \)[/tex] ounces
- Total birth weight = 128 + 13 = 141 ounces
- For her current weight:
- 93 pounds = [tex]\( 93 \times 16 = 1488 \)[/tex] ounces
- Total current weight = 1488 + 5 = 1493 ounces
2. Subtract the total ounces of her birth weight from her current weight:
- Weight gain in ounces = 1493 - 141 = 1352 ounces
3. Convert the weight gain back to pounds and ounces:
- 1352 ounces = (1352 ÷ 16) = 84 pounds with a remainder.
- Calculate the remainder to find excess ounces: 1352 % 16 = 8 ounces
So, Sue has gained a total of 84 pounds and 8 ounces since birth.
### 2. Calculating Average Weight Per Year
To find the average weight for each year over the 13 years:
1. Total weight in ounces at the age of 13 is already calculated as 1493 ounces.
2. Average weight per year:
- Divide the total weight in ounces by her age in years: 1493 ounces ÷ 13 years = approximately 114.8461538 ounces per year
3. Convert this average back to pounds and ounces:
- 114.85 ounces ≈ (114.85 ÷ 16) = 7 pounds with a remainder.
- Calculate the remainder to find the excess ounces: 114.85 % 16 = approximately 2.85 ounces
Therefore, Sue’s average weight per year is approximately 7 pounds and 2.85 ounces.
To summarize:
- Sue has gained 84 pounds and 8 ounces since birth.
- Her average weight per year over the 13 years has been approximately 7 pounds and 2.85 ounces.
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