SOLUTION: Together, Tom and max have 72 cards. tom has 2 more than 4 times as many cards as max has. how many cards does tom have?

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Question 903203: Together, Tom and max have 72 cards. tom has 2 more than 4 times as many cards as max has. how many cards does tom have?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x Max's amount
(4x +2) + x = 72
x = 14,Max's amount. Tom has 58 2%2A14%2B2
and...
58 + 14 = 72

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Together, Tom and max have 72 cards. tom has 2 more than 4 times as many cards as max has. how many cards does tom have?
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Equations:
t + m = 72 cards
t = 4m + 2
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Substitute for "t" and solve for "m"::
4m+2 + m = 72
5m = 70
m = 14 (# of cards max has)
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Solve for "t"::
t = 4m+2
t = 4*14+2 = 58 (# of cards tom has)
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Cheers,
Stan H.
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