Question

Best Buy was having a special on all their tapes and CDs. Jane was able to buy 4 tapes and 2 CDs for $46. Larry bought 3 tapes and 1 CD for $28. How much did a tape cost?​

Answer 1

By setting up a system of linear equations from the given purchases and solving for the cost of a tape, we find that the price of a tape is $5.

Step-by-step explanation:

The question involves solving a system of linear equations to determine the individual prices of tapes and CDs. Jane bought 4 tapes and 2 CDs for $46, and Larry bought 3 tapes and 1 CD for $28. By setting up two equations, we can solve for the cost of a tape and CD. Let's denote the price of a tape as "T" and the price of a CD as "C". Therefore, the equations based on the purchases would be:

• 4T + 2C = $46 (Jane's purchase)
• 3T + C = $28 (Larry's purchase)

To solve the system, we can simply multiply the second equation by 2 to eliminate the CDs variable:

• 6T + 2C = $56

Then, by subtracting Jane's equation from this new equation, we get:

6T + 2C - (4T + 2C) = $56 - $46

2T = $10

T = $5

Therefore, the price of a tape is $5.