Question

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early.
Cena paid $170 for her son to take courses. How many courses did he take?
6 courses
7 courses
8 courses
10 courses

Answer 1

Answer:  The correct option is (B) 7.

Step-by-step explanation:  Given that a karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early.

Cena paid $170 for her son to take courses.

We are to find the number of courses that he took.

Let x represents the number of courses that Cena took.

Then, according to the given information, we have

$35+22.50\times (x-1)=170\\\\ \Rightarrow 22.50(x-1)=170-35\\\\ \Rightarrow 22.50(x-1)=135\\\\ \Rightarrow x-1=\dfrac{135}{22.50}\\\\\Rightarrow x-1=6\\\\ \Rightarrow x=7$

Thus, the required number of courses that Cena took is 7.

Option (B) is CORRECT.

Answer 2

7 course
Because if 35 is the initial payment you would subtract that from 170. Then get 135 which you would divide by 22.5 and get 6 then you add the first one which makes 7
22.5x+35=170