Final answer:
To find the number of investors in equities, we can solve a system of equations. By setting up equations to represent the given information, we can find that 1/9th of the investors in equities also have investments in securities. Using these calculations, we can determine that 11 investors have investments in equities.
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let's assume that 'x' represents the number of investors in equities, and 'y' represents the number of investors in securities. We know that 25% of the investors in equities have investments in securities, which can be represented as: 0.25x = y. We also know that 40% of the investors in securities have investments in equities, so we can represent this as: 0.40y = x.
Now, we can solve this system of equations to find the values of x and y. Substituting the first equation into the second equation, we get: 0.40(0.25x) = x. Simplifying this equation, we have: 0.10x = x. Solving for x, we get: x = 0.10x / 0.90 = x / 9. Thus, we can conclude that 1/9th of the investors in equities also have investments in securities.
Since we have a total of 110 investors, the number of investors in equities can be calculated as: 110 / (9 + 1) = 110 / 10 = 11.