Question

.. 56% of 440 -- 36% of 240 = ?% of 320 :​

Answer 1

Step-by-step explanation:

$\frac{440 \times 56}{100} - \frac{36 \times 240}{100} = \frac{320x}{100} \\ > \frac{24640 - 8640}{100} = \frac{320x}{100} \\ > 16000 = 320x \\ > x = \frac{16000}{320} \\ > x =50$

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Answer 2

SOLUTION

TO DETERMINE

56% of 440 - 36% of 240 = ?% of 320

EVALUATION

Let 56% of 440 - 36% of 240 = r % of 320

$\displaystyle \sf{ \implies 440 \times \frac{56}{100} - 240 \times \frac{36}{100} = 320 \times \frac{r}{100} }$

$\displaystyle \sf{ \implies 440 \times 56 - 240 \times 36 = 320 \times r }$

$\displaystyle \sf{ \implies 44 \times 56 - 24 \times 36 = 32 \times r }$

$\displaystyle \sf{ \implies 32 \times r = 44 \times 56 - 24 \times 36 }$

$\displaystyle \sf{ \implies r = \frac{44 \times 56 - 24 \times 36}{32} }$

$\displaystyle \sf{ \implies r = \frac{44 \times 56}{32} - \frac{24 \times 36}{32} }$

$\displaystyle \sf{ \implies r =77 -27 }$

$\displaystyle \sf{ \implies r = 50 }$

FINAL ANSWER

56% of 440 - 36% of 240 = 50% of 320

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