Samuel and Rafael collect baseball cards. Together they have 63 baseball cards. Rafael has 6 times as many baseball cards as Samuel. How many baseball cards does Rafael have? Show your work.

54

Step-by-step explanation:

63 baseballs cards in total

Assign variables to each of them:

Samuel: x

Rafael: 6x

create equation: x+6x = 63

Solve:  x=9(since 63/7 is 9)

Rafael: 6*9

Rafael has 54 baseball cards

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

c. side angle side. u shares the same sides