Algebra question(word problem)?

Question

make an equation and solve

ninety-six persons rode in buses to an elementry school picinic.There were 5 times as many parents as bus drivers;the number of boys was 3 times the number of parents;and there were 12 fewer girls than boys.How many bus drivers were there.

Answer 1

ok bus drivers = x

96=x+5x+3(5x)+[3(5x)-12]

96 = 36x-12

108 = 36x

3 = x

Answer 2

3 DRIVERS

15 PARENTS

45 BOYS

33 GIRLS

Answer 3

Let x = the number of bus drivers. (Never let x be equal to the subject of the first sentence.)

5x = the number of parents.

3*5x = number of boys

3*5x - 12 = the number of girls.

the equation:

x + 5x + 15x + 15x -12 = 96

I will let you finish the problem, you should get a whole number.

Answer 4

T = total number of passengers in buses

D = bus drivers

P = parents

B = boys

G = girls

T = 96 = B + P + G  + D

P = 5D

B = 3P

G = B - 12

To find the number of bus drivers, we must solve for D:

B + G + P + D = T

D = T - B - G - P

D = 96 - 3P - (B -12) - P

D = 96 - 3P - (3P - 12) - P

D = 96 - 7P + 12

D = 108 - 7(5D)

D = 108 - 35D

36D = 108

D = 3

Therefore, the number of drivers is 3.