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?

Tom = T

Max = M
T + M = 72
T = 4M + 2
Substitute
1(4M + 2) + M = 72
4M + M + 2 = 72
5M + 2 = 72
5M = 70
M = 14

T = 4M + 2
T = 4(14) + 2
T = 58

Tom has 58 cards

To find how many football cards Tom has, let's set up an equation.

Let's say Max has the variable 'x' football cards.

According to the given information, Tom has 2 more than 4 times as many cards as Max has. Mathematically, we can write this as:

Tom = 4x + 2

Now, we also know that the total number of football cards they both have is 72. So, we can set up another equation:

Tom + Max = 72

Substituting the value of Tom from the first equation into the second equation, we get:

(4x + 2) + x = 72

Combine like terms:

5x + 2 = 72

Subtract 2 from both sides:

5x = 70

Divide both sides by 5:

x = 14

Now that we know Max has 14 football cards, we can substitute this value back into the first equation to find out Tom's number of football cards:

Tom = 4x + 2
Tom = 4(14) + 2
Tom = 56 + 2
Tom = 58

Therefore, Tom has 58 football cards.