Question

Jennie has 177 more songs downloaded on her mp3 player than Diamond. Together, they have 895 songs downloaded. What system of equations could be used to determine how many songs each girl has downloaded?

Answer 1

With the information given, we can set up the following system of equations:

$x + y = 895$
$x - y = 177$

x represents how many songs Jennie has, and y represents how many songs Diamond has.

Answer 2

Answer: There are 536 songs downloaded by Jennie and 359 songs downloaded by Diamond.

Step-by-step explanation:

Let the number of songs has downloaded by Jennie be 'x'.

Let the number of songs has downloaded by Diamond be 'y'.

According to question,

$x-y=177-------(1)\\\\x+y=895--------(2)$

Now, we will solve it using "Substitution method":

From eq(1), we have

x=177+y

So, put the above expression in eq(2),

Therefore, it becomes,

$177+y+y=895\\\\177+2y=895\\\\2y=895-177\\\\2y=718\\\\y=\dfrac{718}{2}\\\\y=359$

So, if we put the value of y in the expression : x= 177+y

x = 177+359

x=536

Hence, there are 536 songs downloaded by Jennie and 359 songs downloaded by Diamond.