Question

A baby gained 50 ounces of weight in 2/3 of a year. At this rate, how much weight would the baby gain in 1 year?

Answer 1

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.