There are 40 girls and 32 boys who want to participate in the relay race. if each team must have the same number of girls and boys, a) what is the greatest number of teams that can race? b) how many boys and girls will be on each team?

8 teams

5 girls and 4 boys

Step-by-step explanation:

To determine how many teams we can have , we need to determine the greatest common factor.

 girls:40 = 5*8

boys:32 = 4*8

The greatest common factor is 8

So we will have 8 teams

There will be 5 girls and 4 boys on each team

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for