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If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks costs $6.50, how much does 1 computer disk cost?

User Jomonsugi
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1 Answer

7 votes

Explanation:

Let's assign variables to represent the cost of a computer disk and a notebook. Let's say the cost of a computer disk is "x" dollars, and the cost of a notebook is "y" dollars.

According to the given information:

3 computer disks + 5 notebooks = $7.50 ...(1)

4 computer disks + 2 notebooks = $6.50 ...(2)

Now, we can set up a system of equations based on the given information:

Equation 1: 3x + 5y = 7.50

Equation 2: 4x + 2y = 6.50

We can solve this system of equations to find the values of x and y.

Multiplying Equation 1 by 2 and Equation 2 by 5 to eliminate the y variable, we get:

6x + 10y = 15 ...(3)

20x + 10y = 32.50 ...(4)

Subtracting Equation 3 from Equation 4, we eliminate the y variable:

20x + 10y - (6x + 10y) = 32.50 - 15

14x = 17.50

Dividing both sides by 14:

x = 17.50 / 14

x = 1.25

Therefore, the cost of 1 computer disk is $1.25.

User Osman Turan
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