Question

Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.

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Answer 1

If Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. 52s + 2a is the product of the number of classes (c) and the total cost per class.

What is the product?

Cost of student tickets per class = (52s/c)

Cost of adult tickets per class= (2a/c)

Total cost per class = (52s/c) + (2a/c)

Factor out (1/c) from both terms:

Total cost per class = (52s + 2a)/c

So, 52s + 2a can be written as the product of the number of classes (c) and the total cost per class:

52s + 2a = c * (52s + 2a)

This expression shows the total cost of the tickets for all courses with the same number of adult and student tickets paid for by each class.

Answer 2

52·s + 2·a = [2] × ([26·s] + [a])

Explanation:

The number of classes Mr. Fox takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)