The table below shows the ticket rates for whale watching trips offered by Beluga Fun Tours:

Age Ticket Price
Under 3 years free
3 to 12 years $34
Over 12 years $45

On a certain day, the company took 103 people on whale watching trips. There were 64 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under 3 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?

Question

The table below shows the ticket rates for whale watching trips offered by Beluga Fun Tours:


Age	Ticket Price
Under 3 years	free
3 to 12 years	$34
Over 12 years	$45

On a certain day, the company took 103 people on whale watching trips. There were 64 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under 3 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?

anonymous · Answer

(64 - x)34 + (103 - 64) ⋅ 45 = C

 (103 + x)34 + (103 -(64 + x)) ⋅ 45 = C

 (103 - x)34 + (103 - 64) ⋅ 45 = C

 (64 + x)34 + (103 -(64 + x)) ⋅ 45 = C

anonymous · Answer

I highly believe its a but just checking

doc.brown · Answer

Don't believe. Know.

doc.brown · Answer

Yeah, you're right.

mathmale · Answer

SectorZ423:  How about explaining your reasoning and showing some of the work you've done?

anonymous · Answer

Well there is a possible 64 children that were under 4 (3 and under) so I just went with my gut and took out B and C and worked on A and D and since D is adding more of the children that were already there then I just kinda took A as the answer

mathmale · Answer

I'd suggest you make a table of the 3 groups of people and assign a letter to each to represent the number of people in each group:

kids < 3                               x
kids between 3 and 12         y
people over 12                      z

We already know that x represents the number of kids under 3; this is given.

We need to express y and z in terms of x.

Note that the total number of kids 12 and under is 64, so then the number who are between 3 and 12 is  y = 64 - x.

Can you come up with an expression in x alone for the number of people over 12?

I'm not saying a "gut feeling" won't work or isn't good, but a systematic approach improves your chances of obtaining the correct answer.

mathmale · Answer

kids < 3                               x                  Leave as is
kids between 3 and 12         y  =  64-x    Replace y by 64-x
people over 12                      z  =   ????

anonymous · Answer

Hmm so I was right?

anonymous · Answer

If I was sorry im not all that good at explaining things sometimes in my mind I figure it out without noticing and thats how I get the "gut feeling"