Question

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?

Answer 1

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

Answer 2

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