Question

Please show an explanation

Answer 1

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