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Mathematics 13 Online
OpenStudy (anonymous):

I need help with a word problem can anyone help??

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?

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?

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??

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

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

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

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

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

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

OpenStudy (anonymous):

it was 57 n 109

OpenStudy (anonymous):

just re reading the qns again will get back to in a shrt tym plz

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