During summer vacation, you charge people $8 per hour for swimming lessons and a $20 registration fee. If you make $52 one day, solve an equation to determine how many hours did you spend teaching lessons?
Let's denote the number of hours spent teaching lessons as "h".
The total amount of money earned from the swimming lessons can be expressed as: 8h.
The total amount of money earned from the registration fees is $20.
We are told that the total amount earned for the day is $52.
Therefore, the equation to solve is:
8h + 20 = 52
To solve for h, we need to isolate the variable. Let's begin by subtracting 20 from both sides:
8h = 52 - 20
8h = 32
Next, we divide both sides of the equation by 8:
h = 32 / 8
h = 4
Therefore, you spent 4 hours teaching swimming lessons.
Let's use the variable 'h' to represent the number of hours spent teaching swimming lessons.
First, we can set up an equation to represent the situation. The equation would be:
8h + 20 = 52
This equation represents the total income from teaching swimming lessons, which includes the charge per hour (8h) and the registration fee (20), equaling the total amount made in one day (52).
To solve the equation, we can start by isolating the variable 'h' by subtracting 20 from both sides:
8h + 20 - 20 = 52 - 20
This simplifies to:
8h = 32
Next, we can solve for 'h' by dividing both sides of the equation by 8:
8h/8 = 32/8
This simplifies to:
h = 4
Therefore, you spent 4 hours teaching swimming lessons during summer vacation in order to earn $52.