I need help with a math problem

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

  Picture This earned $3,250 the first year.  Sally video taped 40 events.  She charged $100 for weddings, $75 for birthday parties, and $50 for graduations.  Sally video taped as many weddings as birthday parties and graduations combined.  Find the number of weddings, birthday parties, and graduations Sally video taped.

**Please show your work**

Dec 1st, 2015

Thank you for the opportunity to help you with your question!

Total number of events = 40

Let the number of birthday parties be b , graduations = g and weddings = w

1 ) b+g+w = 40

and 

2) w = b+g

Substituting 2 in 1, we get

b+g+ (b+g) = 40

Hence b+g = 20

and b = 20-g


Again substituting in equation 2

w = 20-g+g

Hence w = 20


Coming to the revenue function, 

3250 = 100w + 75b + 50 g

Dividing by 25

130 = 4w+ 3b + 2g

We know that w = 20 and b=20-g

130 = 4*20 + 3 (20-g) + 2g

130 = 80 + 60 - 3g +2g

130 = 140 -g

g = 10


Hence b = 20 - 10 = 10

Number of weddings = 20 , birthday parties = 10 and graduations = 10

Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 1st, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Dec 1st, 2015
...
Dec 1st, 2015
Oct 22nd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer