Question
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?
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Answer to a math question Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?
Ali
4.492 Answers
1.A is the amount Alice spent, and B is the amount Mrs. Bai spent.
A = \frac{1}{2} B + 15
A + B = 375
2. Substitute A in the second equation:
\left(\frac{1}{2} B + 15\right) + B = 375
3. Simplify and solve for B:
\frac{1}{2} B + B + 15 = 375
\frac{3}{2} B + 15 = 375
\frac{3}{2} B = 375 - 15
\frac{3}{2} B = 360
B = \frac{360 \times 2}{3}
B = 240
4. Substitute B = 240$ back into the equation for A:
A = \frac{1}{2} (240) + 15
A = 120 + 15
A = 135
They spent a total of $375, so:
2. Substitute A in the second equation:
3. Simplify and solve for B:
4. Substitute B = 240$ back into the equation for A:
Alice spent $135 and Mrs.Bai spent $240
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