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vesna_86 [32]
3 years ago
10

Carla is a US student. She is purchasing used textbooks, because she is balling on a budget (pro tip: don't ever buy new books)!

She purchased a math book and a reading book, and the total was $54. The price of the math book is $8 more than 3 times the cost of the reading book. What is the cost of each book?

Mathematics
1 answer:
k0ka [10]3 years ago
4 0
I think this is how you do it. Use x as the price of the reading book, then make it an equation. Let me know if you don’t understand any of the steps. Hope that helps!

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You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

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