Respuesta :
Answer:
The variable is the number of clothes sold 'x'.
The equation is: [tex]118.50=100+0.25x[/tex]
The number of clothes sold by Lynn are 74.
Step-by-step explanation:
Let the number of pieces of clothes sold be 'x'.
Given:
Earning of Lynn per cloth is $0.25.
Fixed earning of Lynn per day is $100
Total earning after selling 'x' clothes is $118.50.
Variable: Number of clothes 'x'.
Equation:
Earning of Lynn for 1 cloth = $0.25
∴ Earning of Lynn for 'x' clothes = [tex]0.25\times x=0.25x[/tex]
Now, total earning of Lynn is the sum of fixed earning and earning from selling 'x' clothes. Therefore,
Total earning = Fixed earning + Earning for 'x' clothes
⇒[tex]118.50=100+0.25x[/tex]
Solution:
Add -100 both sides and then divide the result by 0.25 both sides. This gives,
[tex]118.50-100=100-100+0.25x\\0.25x=18.50\\x=\frac{18.50}{0.25}=74[/tex]
Therefore, the number of clothes sold by Lynn are 74.
