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?
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.
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.
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.
We add the two years of Pete's reading together to find 200+100=<<200+100=300>>300 books read in total.
#### 300