George bought some CDs at his local store. He paid $15.95 for each CD. Nora bout the same number of CDs from a store online. She paid $13.95 for each CD, but had to pay $8 for shipping. In the end, both George and Nora spent the exact same amount of money buying their CDs! How many CDs did George buy?
let the number of CD's be c
solve for c
15.95c = 13.95c + 8
Let's assume George bought x CDs.
The total amount George spent on CDs = $15.95 * x
Nora bought the same number of CDs as George, which is also x CDs.
The total amount Nora spent on CDs = $13.95 * x + $8 (shipping cost)
Since both George and Nora spent the exact same amount of money, we can set up an equation:
$15.95 * x = $13.95 * x + $8
Now, let's solve the equation:
$15.95 * x - $13.95 * x = $8
$2 * x = $8
Dividing both sides of the equation by $2:
x = $8 / $2
x = 4
Therefore, George bought 4 CDs.
To find out how many CDs George bought, let's first calculate the total amount George spent.
Since George paid $15.95 for each CD, we can multiply the price per CD by the number of CDs bought to find the total amount spent by George. Let's assume he bought 'x' number of CDs.
Total amount spent by George = $15.95 * x
Now, let's calculate the total amount spent by Nora.
Nora paid $13.95 for each CD and bought the same amount as George, 'x' number of CDs. Additionally, she had to pay an extra $8 for shipping.
Total amount spent by Nora = ($13.95 * x) + $8
According to the problem, both George and Nora spent the exact same amount on CDs. Therefore, we can set up an equation:
$15.95 * x = ($13.95 * x) + $8
Now, we can solve this equation to find the value of 'x', which represents the number of CDs George bought.
$15.95 * x - $13.95 * x = $8
$2 * x = $8
x = $8 / $2
x = 4
Therefore, George bought 4 CDs.