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

Mathematics

1 answer:

kramer3 years ago

4 0

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.

$BrainiacUser1357$

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