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
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