Ineed with this problem. the book explains it complicated fouty-two people have registered for a raffle. if there are twice as many children as adults signed up, how many children ate registered for the raffle?

To solve the problem, find an equation for the number of children and adults at the raffle, 2c+a=42, where c is number of children and a is number of adults. In this problem, we will go back to this equation, but to solve we will need to change everything to x's.

2x+x=42 
3x=42
x=14.

We will now go back to the original equation that we set up, 2c+a=42 and realize that we need to multiply x by 2 (2c), therefore, there are 28 children registered for the raffle.

You need to plug it in an equation

but the answer is 14

teams

Step-by-step explanation:

Let's do it by parts.

Let's consider a fact: there has to be only one winner. After six games:

So,

Since it's a decreasing Geometric Sequence (we have to lead to one winner), and each match two teams play, the beaten one leaves the championship.

a) Explicit Rule (Formula):

That's to say the tournament started with 32 teams

b) Recursive Rule

If we have the first term of the Geometric Sequence we can recursively find the subsequent terms. The Recursive Rule is useful when we have the prior term and we need the following one. Also, to derive the explicit rule.