Express in terms of x, the value in cents of x lbs. of 40 cent cookies and (30-x) pounds of 50 cent cookies.
40 x +50(30-x)
40 x + 1500 -50 x
1500 - 10 x
To express the value in cents of x lbs. of 40 cent cookies and (30-x) pounds of 50 cent cookies in terms of x, we need to multiply the number of pounds of each type of cookie by their respective price and then add them together.
The value of x lbs. of 40 cent cookies is given by: 40 * x
The value of (30-x) pounds of 50 cent cookies is given by: 50 * (30-x)
To express the total value in terms of x, we add these two values together:
Value = 40 * x + 50 * (30-x)
Simplifying further, we can expand the multiplication:
Value = 40x + 50 * 30 - 50x
= 40x + 1500 - 50x
Next, we can combine like terms:
Value = -10x + 1500
Therefore, the value in cents of x lbs. of 40 cent cookies and (30-x) pounds of 50 cent cookies can be expressed as -10x + 1500.