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

#13.125g#

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

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

We know:

#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...