Posted by **please help Ms.Sue!!!!** on Monday, March 11, 2013 at 4:38am.

At a museum, ticket prices are $13 for adults and $11 for children. If a tour group paid $179 for their tickets, how many people were in the tour group?

- algebra!!! -
**Lena**, Monday, March 11, 2013 at 5:41am
I'm not Ms. Sue but I could try to help. Let's create a formula:

Let A denote the # of adult tickets

Let C denote the # of child tickets

Therefore...

$13 x A + $11 x C = $179

13A + 11C = 179

So from this point forward, I would ask the following. What # must you subtract from $179 in order for it be divisible by 11. That number must also be a factor of 13.

Essentially what I'm saying is 11C = 179-13A

The answer to that would be the following:

13 x 7 = 91

179- 91 = 88

88/11 - 8

Therefore, 7 adults and 8 kids.

PS - You could do it the other way around where you could try to find the number divisible by 179 which is also a factor of 11 but I thought it would be easier to do it the other way around since we're more familiar with our 11 times tables.

## Answer this Question

## Related Questions

- maths - Tickets for the Universal Studios amusement park are priced at $32 for ...
- math - a group of people pays $720 for admission tickets to an amusement park ...
- math - on a boat tour there are half as many children there are as adults. ther...
- math - a group of people pay $720 admission at an amusement park. Thad adult ...
- Math - A ferry boat holds 800 people. There are 260 people already on the boat. ...
- maeh - 228 people have registered for a sightseeing tour of the Grand Canyon . ...
- math - All of the 5th grade teachers and students from Almond went on a field ...
- college algebra - A jazz group on tour has been drawing average crowds of 600 ...
- Math - Admission to a museum cost $12 for adults and $7 for children. A group of...
- ALGEBRA - 1. Suppose you are an event coordinator for a large performance ...