There are three times as many fiction books as non-fiction books in a library. 120 fiction and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library? How do I work this out step by step?

672

Step-by-step explanation:

If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:

3x - 120 = 2(x - 24)  ← the 3x - 120 and x - 24 represents the new number of books

3x - 120 = 2x - 48

x - 120 = 48

x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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