If Pete read twice as many books as Matt did last year, and this year he doubles that number while Matt reads only 50% more, how many books does Pete read across both years if Matt read 75 books in his second year?
How many books did Matt read in his first year? ** First, we need to find the amount Matt read both years to establish what Pete read, so to find Matt's first-year total we multiply 75 / 1.5 = <<75/1.5=50>>50 books the previous year.
How many books did Pete read in his first year? ** Since Pete read twice as many books as Matt did in the first year, and Matt's first-year total is 50, this means Pete read 50*2=<<50*2=100>>100 books his first year.
How many books did Pete read in his second year? ** Since Pete doubled the number of books he read the following year, this means Pete read 100*2=<<100*2=200>>200 books the following year.
How many books did Pete read in total? ** We add the two years of Pete's reading together to find 200+100=<<200+100=300>>300 books read in total.
#### 300