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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?

Sagot :

absor201

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step 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:

[tex]m=b+4\\m+b=24[/tex]

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

Let:

[tex]m=b+4--eq(1)\\m+b=24--eq(2)[/tex]

Put value of m from equation 1 into equation 2

[tex]m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10[/tex]

We get value of b: b=10

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

[tex]m=b+4\\m=10+4\\m=14[/tex]

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

Answer:

m+b=24

m=b+4

Step-by-step explanation:

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