Answer:
The inequality in therms of x is [tex]0.15x+0.2(16-x)\leq 3[/tex].
Patricia had bought at least 4 hair clips of cost $0.15 each.
Step-by-step explanation:
Given:
16 hair clips = $3
[tex]x[/tex] hair clips = $0.15 each
[tex](16-x)[/tex] hair clips = $0.20 each
We need to find the minimum number of hair clips of $0.15 that she bought.
Solution:
Now we can say that;
[tex]x[/tex] hair clips multiplied by $0.15 plus [tex](16-x)[/tex] hair clips multiplied by $0.2 should be less than or equal to 3.
framing in equation form we get;
[tex]0.15x+0.2(16-x)\leq 3[/tex]
Hence The inequality in therms of x is [tex]0.15x+0.2(16-x)\leq 3[/tex].
[tex]0.15x+3.2-0.2x\leq 3[/tex]
Combining like terms we get;
[tex]0.15x-0.2x\leq 3-3.2\\\\-0.05x\leq -0.2[/tex]
Dividing both side by -0.05 we get;
[tex]\frac{-0.05x}{-0.05}\leq \frac{-0.2}{-0.05}\\\\x\geq 4[/tex]
Hence Patricia had bought at least 4 hair clips of cost $0.15 each.
