AzunaFang
contestada


Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Respuesta :

Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

To solve this, we divide both sides by 1.29:
[tex] \frac{1.29x}{1.29} [/tex] ≤ [tex] \frac{20}{1.29} [/tex];
x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

Joseph can download 15 songs from the gift card.

How do you calculate the number of songs?

Given that the value of the gift card is $20. The cost of each downloaded song is $1.29.The number of downloaded songs in $20 can be calculated as given below.

Number of downloaded songs [tex]\times[/tex] Cost of one downloaded song[tex]\leq[/tex]Value of Gift-card

Number of downloaded songs [tex]\leq[/tex][tex]\dfrac {20}{1.29}[/tex]

Number of downloaded songs [tex]\leq[/tex] [tex]15.50[/tex]

0.50 is half the downloaded song.

Hence we can ignore this or in the other way, to completely download the song, it requires more amount and Joseph has only $20 which is not enough to complete the download.

Hence when we round off the number of downloaded songs to 15. It means that Joseph can download 15 songs from the gift card.

For more details on the cost price, follow the link given below.

https://brainly.com/question/962043.