Carlson12345
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A carton contains milk that is 2% fat, an amount that is 40% less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk? Express your answer as a common fraction in simplest form. Thank you

Respuesta :

znk

Answer:

[tex]\large \boxed{\dfrac{10}{3}\, \%}[/tex]

Step-by-step explanation:

             Let x = % fat in whole milk

  Then 0.40x = 40 % of  fat in whole milk

and x - 0.40x = 2 %

[tex]\begin{array}{rcl}x - 0.40x & = & 2 \, \%\\0.60x & = & 2 \, \%\\x & = & \dfrac{2 \, \%}{0.60}\\\\& = & \mathbf{\dfrac{10}{3}\, \%}\\\end{array}\\\text{The amount of fat in whole milk is $\large \boxed{\mathbf{\dfrac{10}{3}\, \%}}$}[/tex]

Answer:

10/3

Step-by-step explanation:

If x represents the number we are looking for, then $40\%$ less than the number would be represented by x-0.4x, or 0.6x. Thus, 0.6x=2. Solving for x, we get x=10/3.

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