Pierre uses 30 grams of chocolate to make
200 milliliters of chocolate sauce. How many
liters of sauce could he make with 450 grams of
chocolate?

Respuesta :

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

[tex]30:200::450:x[/tex]

Product of extreme = Product of mean

[tex]30*x=200*450\\30x=90000[/tex]

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{90000}{30}\\x=3000[/tex]

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = [tex]\frac{3000}{1000}[/tex] = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/1414350
  • brainly.com/question/1418853

#LearnwithBrainly