To find out how many days it will take the elephant to weigh 224 pounds, we will calculate the weight gain over time.
The elephant's initial weight at birth is 150 pounds. It gains 2 pounds per day.
Let \( x \) be the number of days after birth. The weight of the elephant after \( x \) days can be expressed as:
\[ \text{Weight} = 150 \text{ pounds} + 2 \text{ pounds/day} \times x \]
We want to find \( x \) when the weight is 224 pounds:
\[ 150 + 2x = 224 \]
Now, we will solve for \( x \):
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Subtract 150 from both sides: \[ 2x = 224 - 150 \] \[ 2x = 74 \]
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Divide both sides by 2: \[ x = \frac{74}{2} = 37 \]
Thus, it will take 37 days for the elephant to weigh a total of 224 pounds.