How many grams of a 25.6% sugar solution contain 53.5 g of sugar?


Screenshot 2024 01 24 232759

Screenshot 2024 01 24 232759

Step 1 of 2

Given data: given is 23.5 gm of sugar.

Find: we need to find how many gram of 25.6% sugar solution contain 23.5 gm of sugar.

Explanation:

To find this, we can use the concept of concentration.

Step 2 of 2

To determine the grams of a 25.6% sugar solution that contain 23.5 grams of sugar, we can use the concept of concentration.

Concentration is defined as the amount of solute (in this case, sugar) dissolved in a given amount of solvent (in this case, the sugar solution).

The concentration of the sugar solution is given as 25.6%, which means that 100 grams of the solution contains 25.6 grams of sugar.

Now, we can set up a proportion to find the grams of the sugar solution that contain 23.5 grams of sugar:

23.5gramsofsugar25.6gramsofsugar=(x)gramsofsugarsolution(100)gramsofsugarsolution

Cross-multiplying the proportion, we have:

23.5×100=25.6×(x)2,350=25.6×(x)

Dividing both sides of the equation by 25.6 grams of sugar, we find:

2,35025.6=xx=91.8gm

Explanation:

Hence, 91.8gm of sugar is there.

Final solution

Therefore, approximately 91.8 grams of a 25.6% sugar solution contain 23.5 grams of sugar.

 

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