Question

A 420 grams of sugar solution has 40% sugar in it. How much more sugar needs to be added (in grams), such that the resulting solution has 65% sugar?​

Answer 1

Answer:

Let the amount of sugar (solute) be x gram

Therefore,

(x/420) *100=40

After simplifying.

x=168 g

Now,

Let the amount of sugar to be added be y grams..

Therefore,

(168+y)/420*100=65

After simplification

y=105

therefore, 105 gram of sugar(solvent) should be added..

Hope this helps.....

Answer 2

300 gm more sugar needs to be added such that the resulting solution has 65% sugar

Given :

A 420 grams of sugar solution has 40% sugar in it.

To find :

The amount of more sugar needs to be added such that the resulting solution has 65% sugar

Solution :

Step 1 of 2 :

Find the amount of sugar in the solution

Here it is given that 420 grams of sugar solution has 40% sugar in it.

So the amount of sugar in the solution

$\displaystyle \sf{ = 420 \times \frac{40}{100} \: \: grams }$

$\displaystyle \sf{ = 168 \: \: grams }$

Step 2 of 2 :

Find amount of sugar to be added

Let x gram sugar is to be added

Then amount of sugar solution = 420 + x gram

Total amount of sugar = 168 + x gram

So by the given condition

$\displaystyle \sf{ (168 + x) = (420 + x) \times \frac{65}{100} }$

$\displaystyle \sf{ \implies 16800 + 100x = 27300 + 65x }$

$\displaystyle \sf{ \implies 100x - 65x = 27300 -16800 }$

$\displaystyle \sf{ \implies 35x = 10500 }$

$\displaystyle \sf{ \implies x = 300 }$

300 gm more sugar needs to be added such that the resulting solution has 65% sugar

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The difference between face value and place value of 5 in 2,10,519

https://brainly.in/question/22495648

2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

https://brainly.in/question/23093083