Question

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 5% syrup?

Answer 1

4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.

Solution:

Let us assume that x is the required pounds sugar to make 5% syrup

which is

On solving we get,

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.

Explanation:

Answer 2

4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.

Solution:

Let us assume that x is the required pounds sugar to make 5% syrup

`\Rightarrow\frac{x}{\text{total quantity}}=5\%`

which is
`(x)/(5)=5\%`

On solving we get,

`\Rightarrow(x)/(5) =0.05 [5\%=(5)/(100)]`

`\Rightarrow x = 5*0.05\rightarrow x=0.25`

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

`5 \text{ lbs }-0.25 \text{ lbs }=4.75 \text{ lbs }`

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.