At a concert 60% of the audience are adults . 25% of those remaining are boys and the rest of the audience members are girls .There are 30 girls altogether. How many a people are the at the concert?

Hello there! :D

Its math time!!

Alright, let's write out all the percentages.

60%= adults

25%= boys

There are thirty girls.

We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.

60+25= 85

100-85=15

So, 15% of the audience are girls. That is equal to 30 people.

I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.

30*4= 120 adults

We can also take 15 and divide it by 3 (as well as 30)  so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.

15/3= 5%

30/3=10

Now we just need to know how many fives go into 25, which is 5.

5*10= 50

Add that to the number of adults and girls:

50+120+30= 200 people

There are 200 people at the concert!

I hope this helped you and you have a wonderful day,

Kai xx

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°