Answer:
Step-by-step explanation:
1) Let x be the number of adults and y be the number of students
x + y = 8 --------------(I)
y = 8 -x
7.25x + 5.50y = 52.75 ----------------(II)
Substitute y = 8 -x in equation (II)
7.25x + 5.5*(8 - x) = 52.75
7.25x + 5.5*8 - x*5.5 = 52.75
7.25x + 44 - 5.5x = 52.75
7.25x - 5.5x + 44 = 52.75
1.75x + 44 = 52.75
1.75x = 52.75 - 44
1.75x = 8.75
x = 8.75/1.75
x = 5
Plugin x = 5 in equation 1
y = 8 - 5
y = 3
2) x = y + 24
x + y = 180 {Supplementary}
y + 24 + y = 180
2y + 24 = 180
2y = 180 - 24
2y = 156
y = 156/2
y = 78
x = 78 + 24 = 102
