Respuesta :
Answer: 23 teachers got the senior rate
Step-by-step explanation:
Let x represent the number of teachers that got regular tickets.
Let y represent the number of teachers that got senior rate.
.A group of 41 teachers went to Disneyland. It means that
x + y = 41
A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, it means that
113x + 109y = 4561- -- - - - - - - - -:- -1
Substituting x = 41 - y into equation 1, it becomes
113(41 - y) + 109y = 4561.
4633 - 113y + 109y = 4561.
- 113y + 109y = 4561 - 4633
- 4x = - 72
x = - 72 / - 4
x = 18
y = 41 - y = 41 - 18
y = 23
Answer:
23 teachers
Step-by-step explanation:
x: regular rate.
y: senior rate.
A group of 41, so that means that in total that there were 41 teachers and it could be written as x + y = 41.
A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561
113x + 109y = 4561
now you should Substitute x = 41 and subtract it by (y) because it also has teachers who got regular praise
113(41 - y) + 109y = 4561.
now you distribute 113
4633 - 113y + 109y = 4561.
subtract 4633 on both sides
- 113y + 109y = 4561 - 4633
now you should combine like terms
- 4y = - 72
divided both sides by -4
y = - 72 / - 4
y = 18
now we have got the teachers who got regular praise
41-18 = 23
23 teachers
