To find out how much weight the baby would gain in 1 year, we first need to determine the baby’s weight gain rate.
The baby gained 50 ounces in \( \frac{2}{3} \) of a year. We can calculate the rate of weight gain per year using the following proportion:
\[ \text{Weight gain per year} = \frac{\text{Weight gain in } \frac{2}{3} \text{ year}}{\frac{2}{3} \text{ year}} \times 1 \text{ year} \]
Since the baby gained 50 ounces in \( \frac{2}{3} \) of a year, we need to find out how much that would be in a full year.
First, we find the weight gain per month by dividing the total gain by the number of months in \( \frac{2}{3} \) of a year:
There are 12 months in a year, so \( \frac{2}{3} \) of a year has:
\[ \frac{2}{3} \times 12 = 8 \text{ months} \]
The rate of weight gain per month is:
\[ \frac{50 \text{ ounces}}{8 \text{ months}} = 6.25 \text{ ounces per month} \]
Now, to find the weight gain in a full year (12 months):
\[ \text{Weight gain in 1 year} = 6.25 \text{ ounces/month} \times 12 \text{ months} = 75 \text{ ounces} \]
Thus, the baby would gain 75 ounces in 1 year.
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