## 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. How many boo

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## Answers ( )

The number of books sold is 473.Step-by-step explanation: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 priceLet,

The total number of books be ‘x’.The number of books sold be ‘y’.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) = -120.75y – 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473The number of book sold is 473 books.The total number of books is (100+473) = 573 books.