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Question

Kavitha wanted to buy a laptop. She saved 3/8 of the cost of the laptop…

Kavitha wanted to buy a laptop. She saved 3/8 of the cost of the laptop in the first month. In the second month, she saved $125 less than what she saved in the first month. She saved the remaining $525 in the third month. How much did the laptop cost?

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Answer

The correct answer is: $1600$

Explanation

Kavitha’s total savings over three months add up to the cost of the laptop. Let the laptop cost be $C$. She saved $\tfrac{3}{8}C$ in month 1, $\tfrac{3}{8}C – 125$ in month 2, and $525$ in month 3. Set up and solve the equation for $C$.

Steps:

  1. Let $C$ be the total cost. Month 1: $\frac{3}{8}C$. Month 2: $\frac{3}{8}C – 125$. Month 3: $525$.
  2. Write the total: $$\frac{3}{8}C + \left(\frac{3}{8}C – 125\right) + 525 = C$$
  3. Simplify and solve: $$\frac{6}{8}C + 400 = C \quad\Rightarrow\quad \frac{3}{4}C + 400 = C$$ $$400 = \frac{1}{4}C \quad\Rightarrow\quad C = 400 \times 4 = 1600$$

Therefore, the laptop cost $1600\text{ dollars}$.

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