Translate into an algebraic expression How much x% sugar syrup can you make if you have 100 grams of sugar ?

If we have a x% sugar syrup, this means that the ratio between the amount of sugar and the total amount of syrup (water + sugar), times 100%, is equal to x%

So we if we have 100gr of sugar and m grams of water mixed, we have:

100gr + m = M =  grams of syrup, then we have:

then we have:

(100gr/M)*100% = x%

then

100gr*(100/x) = M

where M is the total amount of syrup that you can make.

10000/x

Step-by-step explanation:

So, we can try to put this into an algebraic expression doing this!

We know that % means, *out of 100*, therefore

x=100

100=1        Which means, 100 over one equals to x over 100!

Cross multiply.

100*100 is 10,000

x*1 is x

you cannot simplify it further so we just leave it as, 10,000 divided by x, because x=10,000, would be 10,000 divided by x!

Cheers! I hope you can understand this now.