Jacob and Austin each had a collection of baseball cards. The ratio of Jacob's baseball cards to Austin's baseball cards was 4:1. When Austin found 35 more baseball cards, the ratio became 1:2. How many baseball cards did Jacob have?
j = 4 a
then
2j = (a+35) sub in the first equation
2 ( 4a) = a + 35
7a = 35
a=5 j = 4 a = 20 cards originally