A 4-story house of cards requires 24 cards. How many cards are required to build a 98 story house of cards?
Assuming that the house does not require a broader base to support the increased height,
x/98 = 24/4
Solve for x.
it does require a larger base.. assume that a 10 card house has a base of 4 and decreases upwords to 1
To find the number of cards required to build a 98-story house of cards, we can first determine the pattern between the number of stories and the number of cards required.
Since a 4-story house of cards requires 24 cards, we can observe that the number of cards needed is increasing linearly with the number of stories. Specifically, we can determine the ratio between the number of stories and the number of cards needed.
Let's calculate the ratio:
Ratio = Number of cards ÷ Number of stories
For a 4-story house of cards, the ratio is: 24 ÷ 4 = 6
This means that, on average, each story requires 6 cards.
To find the total number of cards needed for a 98-story house of cards, we can use this ratio:
Total cards = Number of stories × Ratio
Total cards = 98 × 6 = 588
Therefore, it would require 588 cards to build a 98-story house of cards.