The total number of football (x) and basketball (y) is 180. There are 30 more football than basketball. How many of each basketball and football are there?

Answer 1

The total number of football (x) and basketball (y) is 180 mean:

x + y = 180

There are 30 more football than basketball mean:

x = y + 30

Replace this value in equation x + y = 180

x + y = 180

y + 30 + y = 180

2 y + 30 = 180 Subtract 30 to toth sides

2 y + 30 - 30 = 180 - 30

2 y = 150 Divide both sides by 2

y = 150 / 2

y = 75

x = y + 30 = 75 + 30 = 105

Football 105

Basketball 75