To find out how many bars of soap are equivalent to 7 sponges, we can start from the given information that 75 bars of soap equal 2 sponges.
First, we find out how many bars of soap equal 1 sponge:
\[ \text{1 sponge} = \frac{75 \text{ bars of soap}}{2} = 37.5 \text{ bars of soap} \]
Now, to find out how many bars of soap are needed for 7 sponges, we can multiply the number of bars for 1 sponge by 7:
\[ \text{7 sponges} = 7 \times 37.5 \text{ bars of soap} = 262.5 \text{ bars of soap} \]
So, 7 sponges are equivalent to 262.5 bars of soap.