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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?

(please answer this with a complete solution)

60% sugar by weight ... 60% of the weight of the solution is sugar

(40 + s) / (240 + s) = 60%

40 + s = 144 + .6 s

.4 s = 104 ... s = 260

Did you know?

Did you know that the composition of a sugar solution can be calculated based on the amount of sugar and water? For example, if a solution is made up of 40 grams of sugar and 200 grams of water, the total weight of the solution is 240 grams. To make a 60% sugar solution, we need to determine how many grams of sugar should be added. Let's assume x represents the amount of sugar in grams that needs to be added. Since we want the solution to be 60% sugar, the weight of sugar in the solution would be 60% of the total weight. Therefore, 0.60(240 + x) represents the weight of sugar in the final solution. According to the problem, the initial solution contains 40 grams of sugar. So the equation becomes: 40 + x = 0.60(240 + x) Now, we can solve for x: 40 + x = 0.60 * 240 + 0.60 * x 40 + x = 144 + 0.60x Let's subtract 0.60x from both sides: 0.40x = 144 - 40 0.40x = 104 Divide both sides by 0.40: x = 104 / 0.40 x = 260 So, to make a 60% sugar solution, we need to add 260 grams of sugar.