# algebra!!!

posted by .

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!!! -

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.

## Similar Questions

1. ### maeh

228 people have registered for a sightseeing tour of the Grand Canyon . If a tour director can take 35 people on each tour, how many tour directors will be needed to accomodate everyone?
2. ### maths

Tickets for the Universal Studios amusement park are priced at \$32 for Senior Citizens,\$66 for adults and \$48 for children. There are 10 senior citizens in a tour group, the rest are adults and children. There were 2/3 as many adults …
3. ### Math

A ferry boat holds 800 people. There are 260 people already on the boat. The owner of the boat wants to load several tour groups on. The tour groups come in sizes of 40 people or 50 people. The owner would like an equal number of each …
4. ### math

a group of people pay \$720 admission at an amusement park. Thad adult tickets were \$15 and children tickets were \$8. there are 25 more adults then children how many children are in the group
5. ### math

a group of people pays \$720 for admission tickets to an amusement park the price of an adult ticket is \$15, and a child ticket is \$8. there are 25 more adults than children. how many children are in the group?
6. ### math

on a boat tour there are half as many children there are as adults. ther are 40 people on the tour how many children are there
7. ### Math (Algebra)

Two groups went to the movies. The first group included 3 adults and 5 kids and paid a total of \$71. The second group included 5 adults and 3 kids and paid a total of \$81. If ticket prices were the same for each group, find the cost …
8. ### maths

A group of visitors paid a total of \$380 for entrance tickets to a zoo. The entrance ticket for a childs cost \$4. The entrance ticket for an adult cost twiceas much. If there were 10 more adults than children, how many adults were …
9. ### Math

For the first tour on Monday, a museum sells 4 child tickets and 8 adult tickets for \$128. For the second tour the museum sells 6 adult tickets for \$72. Find the price of one child ticket and the price of one adult ticket
10. ### algebra

You can buy 1 child's ticket, 1 adult's ticket and 1 senior citizen's ticket for a minor league baseball game for \$29. Tickets for adults cost 3 times as much as tickets for children. A family of 3 children, 2 adults, and 2 senior …

More Similar Questions