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Answered

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There're 30 kilograma of 10% apple juice How many kilograms of apples does it need to increase the current apple juice to 25%​

Sagot :

MrRoyalidn

The percentage of apple juice is an illustration of ratios and proportions.

It needs 45 kilograms of apple to increase it to 25%

The given parameter is:

30 kg in 10%

Let the additional kilograms of apple be represented with x.

So, we have:

(x + 30 kg) in 25%

The kilogram of apple is in proportion with the percentage used.

So, we have:

[tex]\mathbf{30kg : 10\% = (x + 30)kg : 25\%}[/tex]

Express as fraction

[tex]\mathbf{\frac{30kg }{ 10\% }= \frac{(x + 30)kg }{ 25\%}}[/tex]

Cancel out common units

[tex]\mathbf{\frac{30 }{ 10\% }= \frac{x + 30}{ 25\%}}[/tex]

Express percentage as decimals

[tex]\mathbf{\frac{30 }{ 0.10 }= \frac{x + 30}{ 0.25}}[/tex]

Multiply both sides by 0.25

[tex]\mathbf{\frac{30 }{ 0.10 } \times 0.25= x + 30}[/tex]

So, we have:

[tex]\mathbf{75= x + 30}[/tex]

Subtract 30 from both sides

[tex]\mathbf{45= x}[/tex]

Rewrite as:

[tex]\mathbf{x = 45}[/tex]

Hence, it needs 45 kilograms of apple to increase it to 25%

Read more about ratios and proportions at:

https://brainly.com/question/13114933

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