Question

Last weekend at the Oakview Middle School carnival, 3 kids attended for every 1 adult who attended.

Pick the diagram that models the ratio in the story.
If there were 80 more kids than adults at the carnival, how many people attended altogether?

Answer 1

The correct diagram that models the ratio in the story is:

Kids : Adults = 3 : 1

The ratio indicates that for every 3 kids, there is 1 adult attending the carnival.

Now, let's solve the problem using the information given.

Let's assume the number of adults attending the carnival is x.

According to the given information, the number of kids attending the carnival would be 80 more than the number of adults, so we can write this as:

Number of kids = Number of adults + 80

Using the ratio from the diagram, we know that the number of kids is 3 times the number of adults, so we can write this as:

Number of kids = 3 * Number of adults

Now we can set up an equation based on the information:

3 * Number of adults = Number of adults + 80

Simplifying the equation:

3 * Number of adults - Number of adults = 80

2 * Number of adults = 80

Dividing both sides by 2:

Number of adults = 40

Substituting this value back into the equation for the number of kids:

Number of kids = 3 * 40 = 120

Therefore, the number of people who attended the carnival altogether (kids + adults) is:

Number of people = Number of kids + Number of adults = 120 + 40 = 160

So, there were a total of 160 people who attended the carnival.