Hard math Question, very confusing??!?!?

Question

The ratio of boys to girls at a party was 3:2. If there were 20 people at the party, then how many were boys?

Then: Could you explain to me how this problem works, so I could figure it out on my own, please, and thank you =)

Answer 1

Lol this is simple

3:2 are actually units representing the girls and boys respectively. If you draw a model, you will have boys having three blocks as opposed to the girls having two.

In the 20 people, we add 3 and 2 to get 5 units. Now we find how many people are in 1 unit by 20/5 = 4

Since there are 3 units of boys, 4 x 3 = 12

Ans: 12

Answer 2

Here's the answer - there were 12 boys and 8 girls.

Here's the explanation -
For questions like these, one way to think about the 3:2 ratio that they give you in the beginning is to think, "This means that in every group of 5 people, 3 people are boys and 2 are girls."

Now, how many groups of 5 people can there be at a party with 20 people? 4 groups, right?

In each group of 5, there are 3 boys. And there are 4 groups altogether... So, there are 12 boys total.

Once you get your answer, here's the way to check it.
If you have 12 boys and 8 girls, then the ratio is now 12:8.

Think of it like a fraction, 12/8, and then reduce it.... it becomes 3/2... which is the same as 3:2!

Answer 3

For every 3 boys there are 2 girls. That makes a group of 5. Since there are 20 people at the party, there are 4 groups of 5.

4x3= 12 boys
4x2= 8 girls

Take each ratio and then figure out how many groups there would be in the total.

Answer 4

For every 3 boys at the party, there are 2 girls. Bad party, by the way. So assume that these groups show up in sets of 5 (3 boys, 2 girls). How many groups have come in if there are 20 people?

1 group = 5
2 groups = 10
3 groups = 15
4 groups = 20

Algebraically, it's this:

3x + 2x = 20
5x = 20
x = 4

3*4 = 12 boys

Answer 5

The answer only requires for you to understand the ratio. For every three boys there were two girls, restated for every five people there were 3 boys and two girls.
You can get the answer two ways. we will go the simple one first
5people=3boys+2girls or
5=3+2 then muntiply everything by 4 because 4x5=20
20=12+8 or
20people =12boys+8girls

The other way to so;lve is to devide 20 by 5, and you still get the multiplying factor of 4

hope that helps.

Answer 6

the answer is 12 boys and 8 girls

add the ratio together you get 5
devide the total number of people by that number

20 devided by 5 = 4

there fore 3 x 4 gives you 12
and 2 x 4 gives you 8

hope this helps

Answer 7

the secret to this answer is to think of intently approximately what the question is calling. you're asked to discover the backside score Johnny might have gained on one attempt. this ability that we are able to apply here formula Johnny's favourite = 88 = (a + b + c + d + e) / 5; the place a, b, c, d and e are his 5 attempt rankings. The trick to this Q is to hold the different 4 attempt rankings at a hundred. as a result the equation will become: 88 = (a + a hundred + a hundred + a hundred + a hundred) / 5. in case you remedy for a, you get a = 40. attempt making the different 4 attempt rankings ninety particularly. this might provide you a = 80. See how we'd desire to make Johnny's different 4 rankings the utmost volume, so as that we are able to ensure how undesirable Johnny's different score can truly be.