Sugar solution is composed of 40 grams of sugar and 200 grams of water. How many grams of sugar must be added to make a 60% sugar solution?
(Kindly write the equation..... tnx)
(40 + x)/(240 + x) = 0.6
40 + x = 144 + 0.6 x
0.4 x = 104
x = 260 grams
Check: (260 + 40)/(200 + 40 + 260) = 300/500 = 0.6
To find out how many grams of sugar must be added to make a 60% sugar solution, we can set up an equation as follows:
Let "x" represent the number of grams of sugar to be added.
The total mass of the final solution will be the sum of the sugar and water masses. The sugar mass will be 40 grams (initial sugar) plus "x" grams (additional sugar), while the water mass remains constant at 200 grams.
So, the equation will be:
40 + x = (60/100) * (40 + x + 200)
Let's simplify and solve the equation:
40 + x = 0.6 * (x + 240)
40 + x = 0.6x + 144
0.4x = 144 - 40
0.4x = 104
Dividing both sides of the equation by 0.4:
x = 104 / 0.4
x = 260
Therefore, 260 grams of sugar must be added to make a 60% sugar solution.