Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?

1.A is the amount Alice spent, and B is the amount Mrs. Bai spent.

A = \frac{1}{2} B + 15

A + B = 375

2. Substitute A in the second equation:

\left(\frac{1}{2} B + 15\right) + B = 375

3. Simplify and solve for B:

\frac{1}{2} B + B + 15 = 375

\frac{3}{2} B + 15 = 375

\frac{3}{2} B = 375 - 15

\frac{3}{2} B = 360

B = \frac{360 \times 2}{3}

B = 240

4. Substitute B = 240$ back into the equation for A:

A = \frac{1}{2} (240) + 15

A = 120 + 15

A = 135

Alice spent $135 and Mrs.Bai spent $240