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

m=b+4

Explanation:

on edg

Answer 2

Miguel has video games = 14

Beth has video games = 10

Explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has 4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

`m=b+4\\m+b=24`

Now, solving these system of equations to find values of m and b

Let:

`m=b+4--eq(1)\\m+b=24--eq(2)`

Put value of m from equation 1 into equation 2

`m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=(20)/(2)\\b=10`

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

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

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10