Question

Patricia but 16 hair clips for three dollars X number of hair clips cost $.15 each of the rest cost $.20 each write inequality in terms of X and find the minimum number $.15 hair clips that she bought

Answer 1

Answer:

The inequality in therms of x is $0.15x+0.2(16-x)\leq 3$.

Patricia had bought at least 4 hair clips of cost $0.15 each.

Step-by-step explanation:

Given:

16 hair clips = $3

$x$ hair clips = $0.15 each

$(16-x)$ 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;

$x$ hair clips multiplied by $0.15 plus $(16-x)$ hair clips multiplied by $0.2 should be less than or equal to 3.

framing in equation form we get;

$0.15x+0.2(16-x)\leq 3$

Hence The inequality in therms of x is $0.15x+0.2(16-x)\leq 3$.

$0.15x+3.2-0.2x\leq 3$

Combining like terms we get;

$0.15x-0.2x\leq 3-3.2\\\\-0.05x\leq -0.2$

Dividing both side by -0.05 we get;

$\frac{-0.05x}{-0.05}\leq \frac{-0.2}{-0.05}\\\\x\geq 4$

Hence Patricia had bought at least 4 hair clips of cost $0.15 each.