It’s opening day at an amusement park. There are 132 people in line before it officially opens. If the ratio of adults to kids waiting to get in is 5:6, how many kids are waiting in line?

(1 point)
Responses

72 kids
72 kids
12 kids
12 kids
60 kids
60 kids
66 kids

To find the number of kids waiting in line, we need to determine the ratio of adults to kids in line.

From the given information, the ratio of adults to kids is 5:6.

We can represent this ratio as 5x:6x, where x is a common factor.

We know that there are 132 people in line before the park opens.

So, the total ratio is 5x + 6x = 11x.

And 11x represents the total number of people in line.

Therefore, 11x = 132.

To solve for x, we divide both sides by 11:

x = 132/11 = 12.

Now we can find the number of kids waiting in line by multiplying the value of x by the ratio multiplier for kids, which is 6:

Number of kids = 6x = 6 * 12 = 72.

Therefore, there are 72 kids waiting in line. So the correct answer is:

72 kids

are u sure

Yes, I am confident that the correct answer is 72 kids waiting in line.

i dont think so are u positive

I apologize for any confusion. Let me double-check my calculations.

The ratio of adults to kids waiting in line is 5:6. This means that for every 5 adults, there are 6 kids.

For a total of 11 parts in the ratio (5 adults + 6 kids).

Since we know there are 132 people in line, we can set up the equation:

11 parts = 132 people.

To find the value of one part, we divide both sides by 11:

1 part = 132/11 = 12.

Now, to determine the number of kids waiting in line, we multiply the value of one part by the ratio multiplier for kids, which is 6:

Number of kids = 6 parts = 6 * 12 = 72.

Therefore, the correct answer is 72 kids waiting in line.

Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3:2. If he is going to use 12 eggs, how many sausages does he need?

(1 point)
Responses

12 sausages
12 sausages
20 sausages
20 sausages
8 sausages
8 sausages
5 sausages

To find the number of sausages Edgar needs, we need to determine the ratio between eggs and sausages.

From the given information, the ratio of eggs to sausages is 3:2.

We can represent this ratio as 3x:2x, where x is a common factor.

We know that Edgar is using 12 eggs.

So, the total ratio is 3x + 2x = 5x.

And 5x represents the total number of items (eggs + sausages).

Therefore, 5x = 12.

To solve for x, we divide both sides by 5:

x = 12/5 = 2.4.

Since we can't have a fraction of a sausage, we round x down to the nearest whole number, which is 2.

Now we can find the number of sausages Edgar needs by multiplying the value of x by the ratio multiplier for sausages, which is 2:

Number of sausages = 2x = 2 * 2 = 4.

Therefore, Edgar needs 4 sausages. So the correct answer is:

4 sausages

are u positive

I apologize for any confusion. Let me double-check my calculations.

The ratio of eggs to sausages is 3:2.

If Edgar is using 12 eggs, we can set up the equation:

3 parts (eggs) = 12.

To find the value of one part, we divide both sides by 3:

1 part = 12/3 = 4.

Now, to determine the number of sausages, we multiply the value of one part by the ratio multiplier for sausages, which is 2:

Number of sausages = 2 parts = 2 * 4 = 8.

Therefore, the correct answer is 8 sausages.

what is correct

I apologize for the confusion. The correct answer is that Edgar needs 8 sausages.

really

I apologize for the incorrect information in my previous responses. Let's revisit the problem.

The ratio of eggs to sausages is 3:2. If Edgar is using 12 eggs, we can set up the following equation:

3x = 12

To solve for x, we divide both sides by 3:

x = 12/3 = 4

Now we can find the number of sausages by multiplying the value of x by the ratio multiplier for sausages, which is 2:

Number of sausages = 2x = 2 * 4 = 8.

Therefore, the correct answer is 8 sausages.

A clothing store has pants and shorts for sale in a ratio of 4:3. If there are a total of 70 pants and shorts available for sale, how many of those are shorts?

(1 point)
Responses

30 shorts
30 shorts
10 shorts
10 shorts
40 shorts
40 shorts
21 shorts

To find the number of shorts available for sale, we need to determine the ratio between pants and shorts.

From the given information, the ratio of pants to shorts is 4:3.

We can represent this ratio as 4x:3x, where x is a common factor.

We know that the total number of pants and shorts available is 70.

So, the total ratio is 4x + 3x = 7x.

And 7x represents the total number of items (pants + shorts).

Therefore, 7x = 70.

To solve for x, we divide both sides by 7:

x = 70/7 = 10.

Now we can find the number of shorts available by multiplying the value of x by the ratio multiplier for shorts, which is 3:

Number of shorts = 3x = 3 * 10 = 30.

Therefore, there are 30 shorts available for sale. So the correct answer is:

30 shorts

i don't think so bot

Apologies for any confusion caused. Let's re-evaluate the problem to find the correct answer.

The ratio of pants to shorts is 4:3, and there is a total of 70 pants and shorts available.

Let's assume that the common factor between the two parts of the ratio is x. Therefore, we have 4x for pants and 3x for shorts.

Given that the total number of pants and shorts is 70, we can set up the equation:

4x + 3x = 70

Combining like terms, we have:

7x = 70

To solve for x, we divide both sides by 7:

x = 10

Now we can find the number of shorts by multiplying the value of x by the ratio multiplier for shorts, which is 3:

Number of shorts = 3x = 3 * 10 = 30

Therefore, the correct answer is that there are 30 shorts available for sale.