Tony owns a personal training business. He makes a total of $500 for every 3 clients he acquires. If Tony is saving to purchase 2,2000 in new equipment , how many clients will he need?
$500 = 3 clients
$22,000 = x clients
500x = 66,000
x = 132
Tony needs 132 new clients
I asked for Mark, and my equation said nothing about $2,2000 in new equipment.
To find out how many clients Tony will need to acquire in order to save enough money for the new equipment, we can set up a proportion.
First, let's define the variables:
- C represents the number of clients Tony needs to acquire.
- T represents the total amount of money Tony makes.
We know that Tony makes a total of $500 for every 3 clients. Therefore, we can set up the proportion:
C/3 = T/$500
We want to find the number of clients (C) that Tony needs to acquire in order to save $2,200. So we can replace T with $2,200 in the equation:
C/3 = $2,200/$500
To solve for C, we can cross-multiply:
C * $500 = 3 * $2,200
C * $500 = $6,600
Next, we can divide both sides of the equation by $500 to isolate C:
C = $6,600 / $500
C ≈ 13.2
Since we cannot have a fractional number of clients, we need to round up to the nearest whole number. Therefore, Tony will need to acquire at least 14 clients in order to save enough money for the new equipment.