Question

By taking away 10 from 3/8 of a number the result is -28/3. ​

Answer 1

Answer:

Step-by-step explanation:

Let the number be x

So,

$\sf{\dfrac{3}{8}x-10=-\dfrac{28}{3}}$

$\sf{\implies\,\dfrac{3}{8}x=10-\dfrac{28}{3}}$

$\sf{\implies\,\dfrac{3}{8}x=\dfrac{30-28}{3}}$

$\sf{\implies\,\dfrac{3}{8}x=\dfrac{2}{3}}$

$\sf{\implies\,x=\dfrac{2}{3}\times\dfrac{8}{3}}$

$\sf{\implies\,x=\dfrac{16}{9}}$

Answer 2

Answer:

$\sf \therefore \: x = \frac{16}{9}$

Step-by-step explanation:

Let the number be 'x'

$\sf \frac{3}{8}x - 10 = \frac{ - 28}{3}$

$\sf \frac{3x}{8} + \frac{8( - 10)}{8} = \frac{ - 28}{3}$

$\sf \frac{3x + 8( - 10)}{8} = \frac{ - 28}{3}$

$\sf \frac{3x - 80}{8} = \frac{ - 28}{3}$

$\sf 3x - 80 = 8( - \frac{28}{3} )$

$\sf3x - 80 = - \frac{224}{3}$

$\sf3x = - \frac{224}{3} + 80$

$\sf 3x = \frac{16}{3}$

$\sf x = 3 \div \frac{ 16}{3}$

$\sf x = \frac{16}{9}$