Question

A group of 41 teachers went to Disneyland. A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, how many teachers got the senior rate?

Answer 1

23 teachers

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

Answer 2

Answer: 23 teachers got the senior rate

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