Arianna and Hansen are hosting events that are catered by the same company. Arianna plans to have 65 adults and 56 children attend, so the total projected cost of her meals is $3,003. Hansen has 86 adults and 62 children on his guest list, so he will pay the caterer $3,816. How much does the caterer charge for each meal? Choose the correct system of equation given that A stands for adults and C stands for children.

C = $13

A = $35

Step-by-step explanation:

The computation is shown below:

Let us assume the Adults be A

And children be C

So the first equation would be

65A + 56C = $3,003

And, the second equation is

86A + 62C = $3,816

Now multiply by 86 in equation 1 and 65 in equation 2

5,590A + 4,816C = $258,258

5,590A + 4,030C = $248,040

786C = 10,218

C = $13

And A is

65A + 56($13) = $3,003

65A + $728 = $3,003

65A = $3003 - $728

65A = $2,275

A = $35

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.