Question

If 15% of 180 + x % of 250 = 11% of 100, x = ?​

Answer 1

Answer:

$\large{\underline{\boxed{\sf - \dfrac{32}{5} \: \: or \: \: - 6.4}}}$

Step-by-step explanation:

Given that ;

15% of 180 + x% of 250 = 11% of 100

It can be written as ;

$\implies \sf \frac{15}{100} \times 180 + \frac{x}{100} \times 250 = \frac{11}{100} \times 100 \\ \\ \implies \sf 27 + \frac{25}{10} x = 11 \\ \\ \implies \sf \frac{270 + 25x}{10} = 11 \\ \\ \implies \sf 270 + 25x = 110 \\ \\ \implies \sf 25x = 110 - 270 \\ \\ \implies \sf 25x = - 160 \\ \\ \implies \sf x = - \frac{160}{25} \\ \\ \implies \sf x = - \frac{32}{5} \: \: or \: \: - 6.4$

Hence, the answer is 6.4.

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Verification:

$\sf \frac{15}{100} \times 180 + \frac{x}{100} \times 250 = \frac{11}{100} \times 100 \\ \\ \sf 27 + ( \frac{ - 32}{500}) \times 250 = 11 \\ \\ \sf 27 - 16 = 11 \\ \\ \sf 11 = 11$

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Therefore, the value of x is (-32/5).

Answer 2

Answer:

$\large{\underline{\boxed{\sf - \dfrac{32}{5} \: \: or \: \: - 6.4}}}$

Step-by-step explanation:

Given,

15% of 180 + x% of 250 = 11% of 100

It can be written as:

$\large = \frac{15}{100} × 180 + \frac{x}{100} × 250 = \frac{11}{100} × 100$

$\large = 27 + \frac{25}{10}x = 11$

$\large = \frac{270 + 25x}{10} = 11$

$\large = 25x = 100 - 270$

$\large = 25x = -160$

$\large = 2x = \frac{160}{25}$

$\large = x = \frac{-32}{5} \:or - 6.4$

Hence, the answer is 6.4.

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Verification:

$\large \frac{15}{160} × 180 + \frac{x}{100} × 250 = \frac{11}{100} × 100$

$\large 27 + ( \frac{-32}{500} ) × 250 = 11$

$\large 27 - 16 = 11$

$\large 11 = 11$

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Therefore, the value of x is ( -32 / 5 ).

Hope it is helpful....