Math question 4th grade

Question

Together, ryan and max have 195 baseball cards. Once max gave 3/8 of his cards to another friend, he and ryan had the same number of cards. How many more cards did max have than Ryan in the beginning?

Answer 1

A=Max

B=Ryan

A + B = 195

-> B = 195 - A

A = B after A gave away 3/8

A -3A/8 = B (Above B = 195 - A)

A - 3A/8 = 195 - A

A - 3A/8 + A = 195 - A + A

2A - 3A/8 = 195

13A/8 = 195

A = 120

In the beginning A had 120

A giving away = 120 - 3A/8 = 120 - (3*120/8) = 45

After giving away A = 120 - 45 = 75

After gave away A = B = 75

In the beginning A had 120 and B had 75 -> A had 45 more than B in the beginning.