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Anna007 [38]
2 years ago
12

The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio beca

me 13 : 12. How many people were in the club at the start?
Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0

44

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

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if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because  20 times 5 is 100 and you get 50

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Answer:

  y = 750 -100x

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soldier1979 [14.2K]
Havent done this in years but i think it would just be 12
3 0
3 years ago
Read 2 more answers
MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold fo
Vaselesa [24]

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

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Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

3 0
3 years ago
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