Math Problem Statement

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $250 each, and the desktop computers cost $375 each. How much would it cost to buy 17 notebooks and 18 desktop computers? How much would it cost to buy n notebooks and d desktop computers?

Solution

To solve the given problem, we can use the information provided:

  • Each notebook costs $250.
  • Each desktop computer costs $375.

1. Total cost for 17 notebooks and 18 desktop computers:

For 17 notebooks, the total cost is: 17×250=425017 \times 250 = 4250

For 18 desktop computers, the total cost is: 18×375=675018 \times 375 = 6750

So, the total cost for 17 notebooks and 18 desktop computers is: 4250+6750=110004250 + 6750 = 11000

2. Total cost for nn notebooks and dd desktop computers:

For nn notebooks, the total cost is: n×250n \times 250

For dd desktop computers, the total cost is: d×375d \times 375

So, the total cost for nn notebooks and dd desktop computers is: n×250+d×375n \times 250 + d \times 375

Summary:

  • Total cost for 17 notebooks and 18 desktops: $11,000.
  • Formula for total cost for nn notebooks and dd desktops: 250n+375d250n + 375d.

Do you need more details or have any questions?

Here are some related questions:

  1. How would the total cost change if the number of desktops increased to 20?
  2. What would be the total cost for 10 notebooks and 12 desktop computers?
  3. If the school has a budget of $15,000, how many notebooks and desktops can they buy?
  4. How does the cost function change if the price of notebooks or desktops increases?
  5. Can you express the total cost in terms of percentages of the overall budget?

Tip: Always calculate the cost per unit first, then multiply by the number of units for accuracy.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Algebra

Formulas

Total cost = 250n + 375d

Theorems

-

Suitable Grade Level

Grades 6-8