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1 month ago

How much water do you add to make 12% sugar syrup using 5g sugar?

Mathematics

2 answers:

Svet_ta [9.5K]1 month ago

8 0

The syrup is a combination of sugar and water, with the sugar content being 12%, equivalent to 5 grams.

Subtracting 12% from 100% leaves us with 88%, indicating that the remaining portion is water.

If 12% equals 5g, what does 88% correspond to?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 5&12\\ x&88 \end{array}\implies \cfrac{5}{x}=\cfrac{12}{88}\implies \cfrac{5}{x}=\cfrac{3}{22}\implies 110=3x \\\\\\ \cfrac{110}{3}=x\implies 36\frac{2}{3}=x$

babunello [8.4K]1 month ago

6 0

Answer:

$36\dfrac{2}{3}$ g of water.

Step-by-step explanation:

Knowing that 5 g of sugar represents 12%, let's denote the required amount of water as x g. The total syrup weight is therefore x + 5 g. Consequently, we have:

5 g corresponds to 12%;

x + 5 g accounts for 100%.

This leads to a proportion:

$\dfrac{5}{x+5}=\dfrac{12}{100}\Rightarrow 500=12(x+5),\ 500=12x+60,\ 12x=440, \\ \\x=\dfrac{440}{12}=\dfrac{110}{3}=36\dfrac{2}{3}.$

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