IMAX Movie Prices. There were 322 people at a recent showing of the IMAX 3D movie "300". Admission was $8.75 each for adults and $6.00 each for children. Receipts totaled $2531.50. How many adults and how many children attended?

218 adults and 104 children attended.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=322 (1)

8.75x+6y=2531.50 (2), where:

x is the number of adults

y is the number of children

First, you can solve for x in (1):

x=322-y (3)

Then, you can replace (3) in (2) and solve for y:

8.75(322-y)+6y=2531.50

2817.5-8.75y+6y=2531.50

2817.5-2531.50=8.75y-6y

286=2.75y

y=286/2.75

y=104

Finally, you can replace the value of y in (3) to find x:

x=322-104

x=218

According to this, the answer is that 218 adults and 104 children attended.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.