# math

posted by .

a ticket booth sold 456 tickets and collected \$2311.50 in ticket sales. Adult tickets are \$6.50 and child tickets are \$2. how many tickets of each type were sole?

• math -

I'll try to help.
You know that a certain number of child tickets and a certain number of adult tickets must add up to equal 456.
Say x = adult tickets (number)
y = # child tickets

So x + y = 456
And the money collected is :
6.5x + 2y = 2311.5

2(x + y = 456) ==> 2x + 2y = 912.
6.5x + 2y = 2311.5
- (2x + 2y = 912)
4.5x = 1399.5
x = 1339.5 / 4.5 = 311

311 + y = 456
y = 145
SO # adult tickets = 311 # child tickets = 145
Hope that helped. Peace out.

• math -

children tickets --> 456-x

6.5x + 2(456-x) = 2311.5
times 2
13x + 4(456-x) = 4623
9x = 2799
x = 311

so 311 adult tickets and 145 children tickets

## Similar Questions

1. ### Math

A ticket booth sold 446 tickets and collected \$3,188 in ticket sales. Adult tickets are \$9.00 and children tickets are \$2.00. How many adult tickets were sold?
2. ### Algebra

The school that Trevon goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 4 student tickets for a total of \$188. The school took in \$171 on the second day by selling …
3. ### math

a movie theater charges \$7 for an adult's ticket and \$4 for a child's ticket. on a recent night the sale of child's tickets was three times the sale of adult's tickets. if the total anount collected for ticket sales was not more than …
4. ### Math 70

At a county fair, an adult ticket sold for \$6.00, a senior citizen’s ticket for \$4.50, and a child’s ticket for \$2.00. On Friday, the number of adults and senior citizen’s tickets sold was 5 more than the number of children’s …
5. ### Math

A movie theater sold a total of 390 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost \$8 and each child ticket cost \$3. How much revenue did the theater …
6. ### Math/ASU

A movie theater sold a total of 520 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost \$9 and each child ticket cost \$2. How much revenue did the theater …