Question

How much sugar is there in 100g of 15% sugar syrup?

Answer 1

Hi there!

In order to solve this problem, we'll need set up a proportion and solve. This is our proportion: x/100 = 15/100. Next, we'll cross-multiply to get: 100x = 1500. Lastly, we'll divide both sides by 100 to figure out how many grams of sugar are in 100g of 15% sugar syrup: x = 15 grams.

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Answer 2

In 100g of 15% sugar syrup, there is 15g of sugar.

Sugar Syrup

Sugar syrup is a thick viscous liquid that mostly contains water and dissolved sugar in it. therefore, a 20% sugar syrup means having a 20:80 ratio of sugar and water in a unit of sugar syrup.

Given to us,

100g of sugar syrup 15% sugar,

Now, 15% of sugar means having a 15:85 ratio of sugar and water in 100g of sugar syrup. Let the sugar in 100g of sugar syrup be x. so, the water in the syrup is (100-x), therefore,

$\bold{\dfrac{15}{85} = \dfrac{sugar}{water}}$

Substituing the values we get,

$\dfrac{15}{85} = \dfrac{x}{100-x}\\\\15\times(100-x) = 85x\\1500 - 15x = 85x\\1500 = 85x +15x\\1500 = 100 x\\\\x = \dfrac{1500}{100}\\\\x = 15$

Hence, In 100g of 15% sugar syrup, there is 15g of sugar.

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