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Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball cards do they each own

Respuesta :

absor201

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

[tex]w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2[/tex]

Putting w = 2b-30 in equation 1

[tex]2b-30+b = 87\\3b = 87+30\\3b = 117[/tex]

Dividing both sides by 3

[tex]\frac{3b}{3} = \frac{117}{3}\\b = 39[/tex]

Putting b=39 in equation 2

[tex]w = 2(39)-30\\w = 78-30\\w = 48[/tex]

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

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