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Molodets [167]
3 years ago
7

Last year 190 student attended the spring dance and the total cost was 1250. Two years ago 175 people attended and the total cos

t was 1175. Determined the FIXED COST, COST OF A TICKET. If 225 people attend this years dance, what would be the total cost?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0
Unit cost of a ticket = Income from ticket sales / number of tickets sold:

$1250
--------------- = $6.58 per ticket
190 tickets

Again:

$1175
--------------- = $6.71
175 tickets

While ticket prices do change (usually increase) from year to year, it's unusual to see such a situation here.

Don't have any guidelines by which to determine the "fixed cost of a ticket".

If we use the cost of a ticket of 2 years ago ($6.58/ticket), then the income from the sale of 225 tickets this year would be ($6.58/ticket)(225 tickets), or $1480.50.
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(1) let "r" denote number of rabbits, "c"  number of chickens

Set up the equations:

r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425

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m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\

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