Question

K Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. Two computer disks and three notebooks cost $22. However, five computer disks and four notebooks cost $48. Find the price of each. Which choice satisfies the given conditions? O A. computer disk = $8; notebook = $2 OB. computer disk = $2; notebook = $8 OC. computer disk = $1; notebook = $9​

Answer 1

A

Explanation:

i figured it out but im not gonna explain

Answer 2

To solve this problem, we need to set up a system of equations to represent the given information. Let x be the price of one computer disk and y be the price of one notebook. Then we have:

2x + 3y = 22 (equation 1)
5x + 4y = 48 (equation 2)

To solve for x and y, we can use the method of elimination or substitution. Using the elimination method, we can multiply equation 1 by 2 and subtract it from equation 2 to eliminate x:

10x + 8y = 96 (equation 2 multiplied by 2)
-4x - 6y = -44 (equation 1 multiplied by -2)
--------------------
6x + 2y = 52

Simplifying, we get:

3x + y = 26 (equation 3)

We now have two equations with two unknowns:

2x + 3y = 22
3x + y = 26

Solving for y in the second equation, we get:

y = 26 - 3x

Substituting this into the first equation, we get:

2x + 3(26 - 3x) = 22

Simplifying and solving for x, we get:

x = 4

Substituting this value back into equation 3 to solve for y, we get:

y = 14/3

Therefore, the price of one computer disk is $4 and the price of one notebook is $14/3 or approximately $4.67.

Of the given choices, the correct solution is A. computer disk = $8; notebook = $2.