Question

75gm of sugar solution has 30% sugar in it then the qnaitily of sugar that should be added to the solution to makes sugar 70% in the solution is​

Answer 1

Given:

✰ 75 gm of sugar solution has 30% sugar in it.

To find:

✠ The quantity of sugar that should be added to the solution to make the quantity of sugar 70% in the solution.

Solution:

First we will convert the percentage of quantity of sugar dissolved in the sugar solution into simple decimal number, we have:

➛ 30% of 75

➛ 30/100 × 75

➛ 3/10 × 75

➛ 22.5 g

Now, we will first assume that the x gm of sugar is added to make the quantity of sugar 70% in the solution and thus forming an adequate equation according to question and then doing requisite calculations, we will find the quantity of sugar that should be added to the solution to make the quantity of sugar 70% in the solution.

Let's find out...✧

➤ 100( 22.5 + x )/(75 + x ) = 70

➤ 2250 + 100x = 70( 75 + x )

➤ 2250 + 100x = 5250 + 70x

➤ 100x - 70x = 5250 - 2250

➤ 30x = 3000

➤ x = 3000/30

➤ x = 300/3

➤ x = 100 gm

∴ 100 gm of sugar should be added to the solution to make the quantity of sugar 70% in the solution.

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