Question

each ounce of whole milk contains twice as many calories as an ounce of skim milk. A mixture of 4 oz of whole milk and 2 oz of skim milk at least 100 calories. what is the minimum number calories in each of whole and skim milk. Express as an inequality.

Answer 1

since each ounce of whole mi contains twice as many calories as an ounce of skim milk, we have that W=2S where W repreents the number of calories in an ounce of whole milk and S represents the number of calories in an ounce of skim milk.

we can write the statement in the following inequality}

$4W+2(2S)\ge100$

$4W+4S\ge100$

Then

$W+S\ge25$

and since W=2S

$3S\ge25\Rightarrow S\ge\frac{25}{3}$

And

$W+\frac{W}{2}\ge25\Rightarrow\frac{3W}{2}\ge25\Rightarrow W\ge\frac{50}{3}$

The final inequaities are:

$S\ge\frac{25}{3}=8.333_{}\approx8$

and

$W\ge\frac{50}{3}=16.667\approx17$