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Mathematics 15 Online
OpenStudy (anonymous):

help plz ;-; The table below shows the ticket rates for whale watching trips offered by Beluga Fun Tours. Age Ticket Price Under three years free Three to twelve years $34 Over twelve years $45 On a certain day, the company took 103 people on whale watching trips. There were 64 children aged twelve and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? a. (64 - x)34 + (103 - 64) • 45 = C b. (103 + x)34 + (103 -(64 + x)) • 45 = C c. (103 - x)34 + (103 - 64) • 45 = C d. (64 + x)34 + (103 -(64 + x)) • 45 = C

OpenStudy (anonymous):

@mathessentials can u help me ;-;?

OpenStudy (anonymous):

Over twelve years: 103 - 64 children of all ages right?

OpenStudy (anonymous):

mhh yes O.O

OpenStudy (anonymous):

whats the price for them

OpenStudy (anonymous):

$34

OpenStudy (anonymous):

Over twelve years $45

OpenStudy (anonymous):

ohh o.o

OpenStudy (anonymous):

nevermind. stupid question but now we know it hehe

OpenStudy (anonymous):

haha xD

OpenStudy (anonymous):

under three years are free. basically if we already know the amount of $45 adults, and we know the total people on the ship. you know, the only rest from C is the children combined so rest of C, and rest of children (64) must give us: a C that is no more than cost children

OpenStudy (anonymous):

anyways. what do we have so far? total cost = adultcost +all kidscost

OpenStudy (anonymous):

do we already know the adult cost ?

OpenStudy (anonymous):

$?/1,695

OpenStudy (anonymous):

total passengers 104, 64 children of all ages so: 104-64 are the adults

OpenStudy (anonymous):

right?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

C=(103-64)*45 + adults cost $45

OpenStudy (anonymous):

this is what we have so far, do you understand it?

OpenStudy (anonymous):

yes :D

OpenStudy (anonymous):

great ;) what is still missing is the kids and their costs.

OpenStudy (anonymous):

so babies are essentially free.

OpenStudy (anonymous):

we have 64 children of all ages, but some of them could be babies. who knows.

OpenStudy (anonymous):

what we do know is that only 3+ does cost any money ($34)

OpenStudy (anonymous):

if the 64 children are comprised of "babies=x" and "3+", only the 3+ will cost money

OpenStudy (anonymous):

how should we write it ? total children: 64 babies: x cost for 3+: $34

OpenStudy (anonymous):

(64-x)34?

OpenStudy (anonymous):

YES

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

babies are free, they don't multiply with the cost

OpenStudy (anonymous):

putting everything together: C=(103-64)*45 + (64-x)34

OpenStudy (anonymous):

so A : D

OpenStudy (anonymous):

this was kinda confusing problem o-o

OpenStudy (anonymous):

the first part has every traveler and gets rid of all children, so only adults are left ($45 each) the second part has all children and gets rid of all babies, so only 3+ are left ($34 each) yeah the answer is A) ;)

OpenStudy (anonymous):

I agree

OpenStudy (anonymous):

thanks for the help ! : ))!!

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