A mother is collecting points for a gift. She collected 123 points in January and 72 points in February. These points represent 3/5 of the total points needed for the gift. How many points are needed

The mother collected 123 points in January and 72 points in February.

$$\text{Punti raccolti} = 123 + 72 = 195$$

The 195 points collected represent $\frac{3}{5}$ of the total points needed. Let $P_{totali}$ be the total points needed.

$$195 = \frac{3}{5} \times P_{totali}$$

To find the total points needed, multiply both sides of the equation by the reciprocal of $\frac{3}{5}$, which is $\frac{5}{3}$.

$$P_{totali} = 195 \times \frac{5}{3}$$ $$P_{totali} = \frac{195 \times 5}{3}$$ $$P_{totali} = \frac{975}{3}$$ $$P_{totali} = 325$$

In total, 325 points are needed.

The total points needed are $\text{325 punti}$.