Answer:
a,d,c and e are the correct answers.
To make a 25% sugar syrup, we need to determine the amount of water required to dissolve the sugar.
We know that we have 50 grams of sugar, and we want the sugar to be 25% of the total mixture. This means that the remaining 75% will be water.
Let's set up an equation to find the amount of water needed:
Sugar + Water = Total Mixture
50g + Water = Total Mixture
Since we want the sugar to be 25% of the total mixture, we can express it as a decimal fraction:
25% = 0.25
Now we can rewrite the equation as:
50g + 0.25(Total Mixture) = Total Mixture
Next, we want to solve for the amount of water needed. To do this, we'll isolate the Water term:
0.25(Total Mixture) = Total Mixture - 50g
0.25(Total Mixture) - Total Mixture = -50g
0.25(Total Mixture) - 1(Total Mixture) = -50g
-0.75(Total Mixture) = -50g
Dividing both sides by -0.75:
Total Mixture = -50g / -0.75
Total Mixture ≈ 66.67g
Now, to find the amount of water needed, we'll subtract the weight of the sugar from the total mixture:
Water = Total Mixture - Sugar
Water = 66.67g - 50g
Water ≈ 16.67g
Therefore, to make a 25% sugar syrup with 50g of sugar, you would need approximately 16.67g of water.