ian
16. There are 3 adults for
every 8 children at a
birthday party. If there are
a total of 55 people at the
party, how many adults are
there?

15adults

Step-by-step explanation:

Ratio of Children : Adult = 8 : 3

Number of children = 8x

Number of Adult = 3x

8x + 3x =55

11x = 55

x = 55/11

x = 5

Number of Adults = 3x = 3*5 = 15

40 adults

Step-by-step explanation:

Let x:y represent the ratio of children to adults. As of now, x:y is 3:8.

To solve this problem, all we need to do is find a solution where x + y = 55. Let's begin by using the guess-and-check method.  

First, I will multiply the ratio by 2.

When x = 6, y = 16

6 + 16 = 22

Not applicable; I need higher numbers

Next, I'll multiply the ratio by 4.

When x = 12, y = 32.

12 + 32 = 44

Not applicable, I need slightly higher numbers

I'll multiply the ratio by 5.

When x = 15, y = 40

15 + 40 = 55

Since 55 is the total number of people, 15 children and 40 adults is the correct answer. Therefore, the total number of adults is 40.