Question

Emily received a $25 Spotify gift card and bought 18

songs. Clarissa received a $15 Apple Music gift card
and bought 6 songs. They each ended up with the
same amount left over on their gift cards. How much
did each song, s, cost?

Answer 1

To calculate the price of each song, subtract the total cost of the songs bought from the original value of the gift cards and set them equal. Solving the equation gives the cost of each song as $5/6.

Step-by-step explanation:

To calculate the price of each song, we need to determine the amount of money left on each gift card after the purchases. Since Emily and Clarissa both have the same amount left over, we can start by subtracting the total cost of the songs they bought from the original value of their gift cards.

Emily's gift card had a value of $25, and she bought 18 songs. Let's assume each song costs s dollars. So the total cost of the songs is 18s. After subtracting this from $25, we have:

$25 - 18s = 25 - 18s

Clarissa's gift card had a value of $15, and she bought 6 songs. So, the total cost of the songs is 6s. After subtracting this from $15, we have:

$15 - 6s = 15 - 6s

Since both expressions are equal to the amount left on their gift cards, we can set them equal to each other:

25 - 18s = 15 - 6s

Solving this equation, we get:

12s = 10

s = 10/12

s = 5/6

Therefore, each song costs $5/6.