##### 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.

Dec 1st, 2015

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

Dec 1st, 2015

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Dec 1st, 2015
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Dec 1st, 2015
Oct 22nd, 2017
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