Final answer:
To determine the total number of guests at the party, we use the ratio 2/3 = 12/N and find that N, which represents the total number of guests, is 8.
Step-by-step explanation:
The question is asking us to determine the total number of guests (represented by the variable N) at Owen's birthday party given that 2/3 of the guests are boys and that there are 12 boys in total. To find N, we can use the proportion relationship given by 2/3=N/12.
First, we cross multiply to get:
Then, we divide both sides of the equation by 3 to solve for N:
Therefore, there are 8 guests in total at Owen's birthday party.