Question

Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has 4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be used to find how many video games belong to each friend?

Answer 1

m+b=24
 where m=b+4
therefore, 
b+4+b=24

2b=20
b=10  ,  m = 10+4=14

Answer 2

Answer: Miguel has 14 video games and Beth has 10 video games .

Step-by-step explanation:

Let the number of videos games Miguel has be m

Let the number of video games Beth has be b

According to question,

Miguel has 4 more video games than Beth i.e.

$m-b=4$

Together, they have a total of 24 video games ,

$m+b=24$

Now, we will use "Substitution Method",

$m=4+b$

Now, put it in the second equation i.e.

$m+b=24\\\\4+b+b=24\\\\4+2b=24\\\\2b=24-4\\\\2b=20\\\\b=\frac{20}{2}\\\\b=10$

So,

$m=4+b\\\\m=4+10\\\\m=14$

Hence, Miguel has 14 video games and Beth has 10 video games .