You are here:

# Algebra/Algebra 1

Question
There are 409 tickets sold for a basketball game. The activity card-holder's ticket cost \$1.75, and the non-card holder's tickets cost \$2.25. The total amount of money collected was \$753.75. How many of each kind of tickets were?
Thanks for the help

Let x be the number of card-holder's tickets.
This makes the number of other tickets be 409-x.

Take 1.75x + 2.25(409-x) = 753.75 and solve for x.

That is, we have 1.75x + 920.25 - 2.25x = 753.75.
Since 1.75 - 2.25 is -0.5, we have -0.5x = 753.75 - 920.25.

I believe that gives 0.5x = 166.5, but you'd better check that.
That gives x = 166.5/0.5, which looks like 333 to me.
You get that?

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

Past/Present Clients
Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.