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(25)/(3)`

And

`W+(W)/(2)\ge25\Rightarrow(3W)/(2)\ge25\Rightarrow W\ge(50)/(3)`

The final inequaities are:

`S\ge(25)/(3)=8.333_{}\approx8`

and

`W\ge(50)/(3)=16.667\approx17`