Allison has 5 time as many baseball cards as football cards. In all, she has 120 baseball and football cards. How many baseball cards does Allison have?

100

let the number of football cards be x then she has 5x baseball cards

the total cards she has is 120, hence

x + 5x = 120

6x = 120 (divide both sides by 6)

x = 20

Allison has 20 football cards and 5 * 20 = 100 baseball cards

b=baseball cards

f=football cards

b=5f she has 5 times as many baseball cards as football cards so we multiply the football cards by 5 to make them equal

b+f=120 there are 120 football and baseball cards total

5f+f = 120 substitute 5f everywhere you see a b

6f = 120 combine like terms

f=20 divide by 6

there are 20 football cards

b=5f

b=5 (20)

there are 100 baseball cards