how many of each were sold

Question

your school sells 125 tickets to the play that consist of student and adult tickets. Student tickets are $6.00 and adult tickets are $8.50. If the school makes $950, how many of each were sold

Answer 1

Hello, Alyssa,

We have two unknowns: the numbers of student (S) and adult (A) tickets, So we'll need at least two equations.

We can say that S + A - 125, the total numbr of tickets sold.

We can also set up an expression that amounts to the total sales of $850 by adding 6*S to 8.5*A:

6S + 8.5A = 850

Rearrange the first equation to solve for S(or A, if you'd like):

S = 125 - A

Then substitute this value of S into the second equation:

6(125-A) +8.5A = 950

750 - 6A +8.5A = 950

2.5A = 200

A = 80

Now we can find S: 80 + S = 125

S = 45

Check to see if these work:

6S + 8.5A = 950

6(45) + 8.5(80) = ?

= 950 - it works.

Student 45 tickets

Adult 80 tickets

I hope this helps,

Bob