## 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

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?

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4 weeks 2021-09-19T02:34:37+00:00 2 Answers 0

1. 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

2. 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