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Help me please- Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Help me please Write a system of equations to describe the situation below solve using elimination and fill in the blanks class=

Respuesta :

Answer:

  • One booster pack is worth 9 cards and one premade deck is worth 37 cards.

Step-by-step explanation:

We know that:

  • 9x + 7y = 340 cards
  • 4x + y = 73 cards
  • y = Cost of premade decks (In cards)
  • x = Cost of booster packs (In cards)

Work:

  • 9x + 7y = 340 cards

        4x + y = 73 cards

  • 4(9x + 7y = 340 cards)

        9(4x + y = 73 cards)

  • 36x + 28y = 340 x 4 cards

        36x + 9y = 73 x 9 cards

  • 19y = 1360 - 657
  • 19y = 703
  • y = 703/19 = 37

This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.

  • 9x + 7y = 340 cards
  • => 9x + 7(37) = 340 cards
  • => 9x + 259 = 340 cards
  • => 9x = 81 cards
  • => x = 9 cards

Hence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

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