Members at a yoga school pay $7 per class plus a one-time $120 membership fee. Non-members pay $11 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?
I'm struggling with this problem a bit, and so are my friends. I just don't understand this problem because of the way it's worded, as many kids would say. Please help me out so I can understand this better! Thanks :)
Members at yoga school pay $10 per class plus a one time $100 membership fee nonmembers pay $50 per class how many classes with a member have to take to save money comparing to taking classes as a non member
Members at a yoga school pay $10 per class plus a one-time $100 membership fee. Non-members pay$15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member? *
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WTF HOW DO YOU ANSWER THAT!?!?!?!? SORRY BUD YOU BETTER LOOK AT SOMEONE ELSE'S ANSWER!
31
No worries! Let's break down the problem step by step.
First, let's look at the costs for members and non-members:
Members pay $7 per class plus a one-time $120 membership fee.
Non-members pay $11 per class.
Now, to determine how many classes a member would have to take to save money compared to a non-member, we need to compare the total cost for each option.
For members:
The total cost for a member would be the sum of the membership fee ($120) and the cost per class ($7 x number of classes).
For non-members:
The total cost for a non-member would be the cost per class ($11 x number of classes).
We need to find the number of classes at which the total cost for a non-member exceeds the total cost for a member. Let's set up an equation to represent this:
$120 + ($7 x number of classes) < $11 x number of classes
Now, let's solve for the number of classes:
$120 + $7 x < $11 x
To isolate the variable, we can subtract $120 from both sides:
$7 x < $11 x - $120
Simplifying the right side:
$7 x < $11 x - $120
$7 x < $11 x - $120
Combining like terms:
$7 x - $11 x < - $120
Simplifying:
- $4 x < - $120
To solve for x, we can divide both sides by -4 (remember that dividing by a negative number reverses the inequality):
(- $4 x) / -4 > (- $120) / -4
Simplifying:
x > $30
Therefore, a member would have to take more than 30 classes to save money compared to taking classes as a non-member.
120 + 7 x = 11 x
so
4 x = 120
x = 30