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 .
