Final answer:
Jenna and Jerika are splitting a $45 iTunes gift card. Jenna gets z dollars of the card, and Jerika gets the rest. To find out how many songs each can buy, divide their respective amounts by the cost of one song, $1.29.
Step-by-step explanation:
Jenna and her sister Jerika have a $45 iTunes gift card that they decide to share. If Jenna gets the z amount of the value, then Jerika will get the rest which is $45 - z. Given that each song on iTunes costs $1.29, we can calculate the number of songs each sister can buy.
First, let's calculate how many songs Jenna can buy. We need to divide the amount Jenna gets, which is z, by the cost of one song:
- Number of songs Jenna can buy = z / $1.29.
- Now, for Jerika, we first calculate the remaining amount she gets, then divide by the cost per song:
- Number of songs Jerika can buy = ($45 - z) / $1.29.
Both amounts are whole numbers since you can't buy a fraction of a song.