The ratio of fiction turn on fiction books on the shelf is 3 to 5 if there were 70 nonfiction books on the shelf how many fiction books would there be

Answer 1

if fiction to nonfiction ratio is 3:5 that means the fraction of nonfiction books is 5/(3+5) = 5/8

and the fraction of fiction books is 1-5/8 = 3/8

3/5 = x/70 solve for x=number of fiction books

5x =210

x = 42 fiction books

total books are 112

3/8 of 112 = 3(112)/8 = 3(14) = 42

42+70 = 112 total books