Question

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?

Answer 1

`13.125g`

Explanation:

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...