The box office took in a total of $2905 in paid admissions for the high-school musical. Adult tickets cost $8 each, and student tickets cost $3 each. If 560 people attended the show, how many were students? Let s = the number of students attending, and let a = the number of adults attending. Which two equations can be used to solve this problem? Select the two that apply.
Accepted Solution
A:
There are no equations to choose from but it should look like the following.
a= # of adult tickets s= # of student tickets
QUANTITY EQUATION a + s= 560
COST EQUATION $8a + $3s= $2905
***If you have to also solve for the number of adults and students, here are the steps.
STEP 1: multiply quantity equation by -8
-8(a + s)= -8(560) -8a - 8s= -4480
STEP 2: add cost equation and step 1 equation
$8a + $3s= $2905 -8a - 8s= -4480 a term cancels out to zero -5s= -1575 divide both sides by -5 s= 315 students
STEP 3: substitute s=315 in quantity equation a + s= 560 a + 315= 560 subtract 315 from both sides a= 245 adults