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OpenStudy (anonymous):
whats the problem?
OpenStudy (anonymous):
A Ballet Performance bought in $2153 from the sale of 166 tickets. A child's ticket was $11 and an adult ticket was $14. How manyof each type of ticket was sold?
OpenStudy (anonymous):
let x=child ticket and y= adult ticket
x+y=166
11x+14y=2153
OpenStudy (anonymous):
do you know what to do now?
OpenStudy (anonymous):
Do you solve for each variable?
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OpenStudy (anonymous):
I really do not know what to do
OpenStudy (anonymous):
Yes, solve for each variable, either using substitution or elimination.
OpenStudy (anonymous):
See i don understand how to do tht...because when I did it.. it came out worried
OpenStudy (anonymous):
weird
OpenStudy (anonymous):
What was the first step that you took?
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OpenStudy (anonymous):
11x=2513 and divide both sides
OpenStudy (anonymous):
That would mean that all of the tickets were children's tickets.
OpenStudy (anonymous):
i mean 2153
OpenStudy (anonymous):
You have to also consider that there were also adult tickets purchased.
OpenStudy (anonymous):
wait so wat am i suppose to do??
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OpenStudy (anonymous):
Well we know that the amount of money made from children's tickets is 11*(# of children's tickets) and the amount of money made from adult's tickets is 14*(# of adult's tickets). Altogether, this has to equal 2153, so we write the equation \(11x+14y=2153\), where \(x\) is the # of children's tickets and \(y\) is the # of adult's tickets. Does that make sense?
OpenStudy (anonymous):
I got that much..how do you solve it
OpenStudy (anonymous):
Did you get the other equation also?
OpenStudy (anonymous):
from dis point it shud be easy......put in the variables
OpenStudy (anonymous):
the x+y=166
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OpenStudy (anonymous):
Right, now we are going to solve that equation for either \(x\) or \(y\), it is up to you.
OpenStudy (anonymous):
put in the childrens amt in the x colon and adults evrywhere u find y
OpenStudy (anonymous):
n kelvin im not good at word problems
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
im so confused...... i give up thank you guys doe
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OpenStudy (anonymous):
im solvin it for you
OpenStudy (anonymous):
you will get 177.9090 for x
OpenStudy (anonymous):
how u get tht
OpenStudy (anonymous):
you solve for x by first solving for y
OpenStudy (anonymous):
it ll be like11x+14(14dats the amt of the ticket dat was sold to adults)=2153
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OpenStudy (anonymous):
den u multiply 14 x 14
OpenStudy (anonymous):
okk so it 11x+196=2153
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
den u group like terms
OpenStudy (anonymous):
ok so x=177.90 n y=139.77
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OpenStudy (anonymous):
x is correct but y is wrng
OpenStudy (anonymous):
ok sohw do you get y
OpenStudy (anonymous):
afta solving for x n gettin the ans,rewrite the equation again
OpenStudy (anonymous):
wud you do the same thing you did for x?
OpenStudy (anonymous):
and instead of 11x,u ll do it 11{the ans for x}+14y=2153
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OpenStudy (anonymous):
yes of cos
OpenStudy (anonymous):
i got 14.00
OpenStudy (anonymous):
is correct well done
OpenStudy (anonymous):
ok but it did not = 166 tickets
OpenStudy (anonymous):
so this still does not tell me how many tickets was sold from each group
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OpenStudy (anonymous):
it was 57 n 109
OpenStudy (anonymous):
just re reading the qns again will get back to in a shrt tym plz