Respuesta :

Answer:

D: 12

Step-by-step explanation:

1) So what I did at first was convert the fractions into decimals.

(Personally, this makes it easier, for me at least)

  • [tex]\frac{1}{4} = 0.25\\[/tex]
  • [tex]\frac{3}{5} = 0.60[/tex]

2) The problem states that for every 0.25 cups of broccoli, 0.60 grams of fiber are added as well to the mix. You can also convert this into a fraction. (It doesn't matter which one is the numerator/denominator, but for this example, I used the 0.25 cups of broccoli as the numerator.

  • [tex]\frac{broccoli}{fiber} =\frac{0.25}{0.60}[/tex]

3) Next step would be making another fraction. This time, the fraction is for the 5 cups of broccoli. Since we don't know the amount of grams for the fiber, we will replace it with an "x".

  • [tex]\frac{broccoli}{fiber} =\frac{5}{x}[/tex]

4) Realize, that |  [tex]\frac{0.25}{0.60} =\frac{5}{x}[/tex] |  To figure out the answer to this part, you can cross-multiply

  • [tex]0.25x = 5(0.60)[/tex]
  • [tex]0.25x = 3[/tex]

5) Then at last, divide both sides by [tex]0.25[/tex] and you'll get:

  • [tex]x=12[/tex]

Sorry this may have taken a long time; I just wanted to make sure everything was correct. Hope you do well on math, whether it's a test, or just homework. Good luck! :D