Asked by Mary
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?
Answers
Answered by
Bosnian
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
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
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