The school production of 'our town' was a big success. for opening night, 323 tickets were sold. students paid $3.50 each, while non-students paid $5.50 each. if a total of $ 1354.50 was collected, how many students and how many non-students attended?
the number of students was
nothing. (simplify your answer.)
the number of non-students was
nothing. (simplify your answer.)

112 non-students and 211 students

Step-by-step explanation:

So, we have two kinds of paying attendees, students (x) and non-students (y).

We know that all together, they were 323, so x + y = 323

We know the base formula to calculate the total entry money goes like:

3.5x + 5.5y = 1354.50 (X students paid $3.50 and Y non-students paid $5.50)

Now, from the first equation, we can isolate x as x = 323 - y

Let's place this value of x in the second equation:

3.5 (323 - y) + 5.5y = 1354.50

1130.50 - 3.5y + 5.5y = 1354.50

2y = 224

y = 112

So, 112 non-students paid $5.50.

From first equation, we have:

x + y = 323

x + 112 = 323

x = 211

And 211 students paid $3.50.

We can verify with the second equation:

3.5x + 5.5y = 1354.50

3.5 * 221 + 5.5 * 112 = 1354.50

738.50 + 616 = 1354.50

1354.50 = 1354.50

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

b

step-by-step explanation: