Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Hakim received some gift cards for music and movie downloads for his birthday. Using one of them, he downloaded 20 songs and 13 movies, which cost a total of $163. Using another, he purchased 13 songs and 13 movies, which cost a total of $156. How much does each download cost?

Downloads cost $____for a song and $______ for a movie.

Answer 1

the download cost for a song is $1 and $11 for a movie

Explanation:

According to the questions, the following equations are as follows:

Let us assume the song be x

And, the movies be y

So,

20x + 13y = $163.........(i)

13x + 13y = $156........(ii)

Now solve substract second equation from the first equation

7x = $7

x = $1

And the y value is

20 + 13y = $163

13y = $163 - $20

13y = $143

y = $11

Hence, the download cost for a song is $1 and $11 for a movie