SOLUTION: there are 340 tickets and three kids the mom wants to split them where james has 40 less than ashley and ashley gets 80 less than amanda how many tickets does each kid get

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Question 609683: there are 340 tickets and three kids the mom wants to split them where james has 40 less than ashley and ashley gets 80 less than amanda how many tickets does each kid get
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
x=James's tickets
y=Ashley's tickets
z=Amanda's tickets

Write your equations
x+y+z=340
x+40=y
y+80=z

Now solve your system...
x+40=y
x-y=-40

x+y+z= 340
x-y =-40
2y+z= 380
z= 380-2y

y+80=z
y+80=380-2y
y+2y=380-80
3y=300
y=100

z=380-2y
z=380-2(100)
z=380-200
z=180

x+40=y
x+40=100
x=60

Check:
x+y+z=340
60+100+180=340

James has 60 tickets.
Ashley has 100 tickets.
Amanda has 180 tickets.