Together , Tom and max have 72 football cards. Tom has 2 more than 4 times as many cards as max has. How many football cards does Tom have ?
t+m=72
t = 4m + 2
4m + 2 + m = 72
5m = 70
m = 14
14*4 + 2 = 58---> t
Max has 14 cards and Tom has 58.
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Let's assume that the number of football cards that Max has is M.
According to the given information, Tom has 2 more than 4 times the number of cards Max has.
So, Tom has (4M + 2) cards.
Now, we know that together Tom and Max have 72 cards.
So, M + (4M + 2) = 72.
Combining like terms, we get:
5M + 2 = 72.
Subtracting 2 from both sides, we get:
5M = 70.
Dividing both sides by 5, we get:
M = 14.
Therefore, Max has 14 cards.
To find Tom's cards, we substitute the value of M back into the expression (4M + 2):
Tom = 4 * 14 + 2.
Multiplying, we get:
Tom = 56 + 2 = 58.
So, Tom has 58 football cards.
To find out how many football cards Tom has, we can set up an equation based on the given information.
Let's assume that Max has x number of football cards.
According to the problem, Tom has 2 more than 4 times the number of cards Max has. So, Tom has 4x + 2 cards.
Now, we know that together Tom and Max have 72 cards. Therefore, we can set up the equation:
x + (4x + 2) = 72
Combining like terms, we get:
5x + 2 = 72
Next, we subtract 2 from both sides of the equation:
5x = 72 - 2
5x = 70
Dividing both sides of the equation by 5, we find:
x = 70/5
x = 14
Therefore, Max has 14 football cards.
To find the number of cards Tom has, we substitute the value of x back into the equation for Tom's cards:
Tom's cards = 4x + 2
= 4(14) + 2
= 56 + 2
= 58
Therefore, Tom has 58 football cards.