The concentration of sugar in a soft drink is measured to be 10.5%. How many grams of sugar are in 125 g of the drink?

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Answer 1 · 2018-03-23T08:16:04

$13.125 g$ $13.125g$

This question is telling us to find $10.5 %$ $10.5%$ of the whole amount, as that is how much sugar there is in the drink.

By dividing by $100$ $100$ we can find $1 %$ $1%$ :

We know:

$125 = 10.5 %$ $125=10.5%$

$therefore$ $1%=125/100=1.25$

Therefore this is $1%$ and we want $10.5%$

We can split this into two halves:

$(1% xx 10) + (1% =xx 0.5)$

Plugging in the value of $1%$

$(1.25xx10)+(1.25xx0.5)=12.5+0.625=13.125g$

We can always check the answer by using this formula to find a percentage:

amount/percentage $xx100$

$therefore$ $13.125/125xx100=10.5%$

So it is correct...