For every 3 video games Maddox has, Bridger has 4. if together they have 42 video games how many games does each boy have?

Respuesta :

Answer:

Maddox has 18 video games

Bridger has 24 video games

Step-by-step explanation:

Let

x------> the number of video games Maddox has

y------> the number of video games Bridger has

we know that

[tex]x+y=42[/tex] -----> equation A

[tex]\frac{x}{y}=\frac{3}{4}[/tex]

[tex]x=\frac{3}{4}y[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex](\frac{3}{4}y)+y=42[/tex]

[tex]\frac{7}{4}y=42[/tex]

[tex]y=42*4/7=24[/tex]

Find the value of x

[tex]x=\frac{3}{4}(24)=18[/tex]

therefore

Maddox has 18 video games

Bridger has 24 video games

Answer:

MADDOX - 18

BRIDGER - 24