Answer:
x= number of songs bought
y= number of movies bought
1.75*x + 2.5*y = 45
x + y = 20
Step-by-step explanation:
Giving the following information:
Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.
<u>We need to establish a system of equations that represents this situation.</u>
x= number of songs bought
y= number of movies bought
1.75*x + 2.5*y = 45
x + y = 20
<u>Now, we can determine the x and y:</u>
x= 20 - y
Substitute x:
1.75*(20 - y) + 2.5y = 45
35 - 1.75y + 2.5y = 45
0.75y = 10
y= 13
x= 20 - 13
x= 7
<u>Prove:</u>
1.75*7 + 2.5*13 = 45
7 + 13 = 20