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Together Kevin and Josh have 78 baseball cards let x represent Kevin and y represents Josh Josh has 12 more cards than Kevin how many cards do each of them have

User Mr Auni
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Final answer:

After setting up and solving two algebraic equations, we find that Kevin has 33 baseball cards and Josh has 45 baseball cards.

Step-by-step explanation:

To solve the problem we need to set up two equations based on the information given. Let x represent the number of cards Kevin has and y represent the number of cards Josh has. We know that together they have 78 cards, so our first equation is x + y = 78. We also know that Josh has 12 more cards than Kevin, which gives us the second equation: y = x + 12.

First, substitute y from the second equation into the first equation:

  • x + (x + 12) = 78
  • 2x + 12 = 78
  • 2x = 78 - 12
  • 2x = 66
  • x = 66 / 2
  • x = 33

Now that we know Kevin has 33 cards, we can find out how many cards Josh has by placing x into the second equation:

  • y = x + 12
  • y = 33 + 12
  • y = 45

Therefore, Kevin has 33 baseball cards and Josh has 45 baseball cards.

User Potashin
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