SOLUTION: TTranslate the following mathematical statements into mathematical equations and solve the unknown 1. The amount raised during JS Promenade Night varies directly as the number o

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Question 1175667: TTranslate the following mathematical statements into mathematical equations and solve the unknown
1. The amount raised during JS Promenade Night varies directly as the number of attendees and inversely as the amount of expenses used on the said event. If the amount of money raised for 250 attendees was Php5000.00 and the amount for expenses was Php4000.00 How much money will bhe raised for 300 attendees and Php6000.00 amount of expenses used during the JS Promenade Night?
2. In particular school, the number of girls varies directly as the number of boys and inversely as the number of teachers. When there were 40 girls, there were 25 teachers and 10 boys. How many boys when there were 30 girls and 60 teachers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. The amount raised during JS Promenade Night varies directly as the number of attendees and inversely as the amount of expenses used on the said event.
If the amount of money raised for 250 attendees was Php5000.00 and the amount for expenses was Php4000.00
How much money will be raised for 300 attendees and Php6000.00 amount of expenses used during the JS Promenade Night?
A = amt raised, k = constant, n = number attended, e = expenses
%28kn%29%2Fe = A
%28250k%29%2F4000 = 5000
250k = 5000*4000
k = 20000000/250
k = 80000
The equation then
A = %288000n%29%2Fe
"How much money will be raised for 300 attendees and Php6000.00 amount of expenses used during the JS Promenade Night?
A = %2880000%2A300%29%2F6000
simplify, cancel 1000
A = %2880%2A300%29%2F6
A = $4000
:
2. In particular school, the number of girls varies directly as the number of boys and inversely as the number of teachers.
When there were 40 girls, there were 25 teachers and 10 boys.
g = no. of girls, b = no. of boys, t = no. of teachers
Find k
%2810k%29%2F25 = 40
10k = 25 * 40
k = 1000/10
k = 100
the equation
g = %28100b%29%2Ft
" How many boys when there were 30 girls and 60 teachers?
%28100b%29%2F60 = 30
100b = 60 * 30
b = 1800/100
b = 18 boys