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?

Max has x cards. Tom has 2 more than 4 times as many as Max has, so Tom has 4 * x + 2. Together they have 72 cards.
We can write it as an equation:
72 = x + 4 * x + 2 72 = x + 4x + 2 72 = 5x + 2 / - 2 (both sides) 70 = 5x / ÷ 5 (both sides) x = 14
So Max has 14 cards and Tom has 4 * 14 + 2 = 56 + 2 = 58 cards.
58 + 14 = 72, so it's correct :)

Answered by SlowZasob | 2024-06-10

Tom has 58 football cards. This was found by determining the number of cards Max has and using the relationship stated in the problem. The total number of cards adds up to the stated amount of 72, validating the solution.
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Answered by SlowZasob | 2024-09-26