Mathematics: The model below can be used to find the quotient of 1/2 divided by 1/8 . what is the quotient? a 1/16 b 2/5 c 2 d 4

The model below can be used to find the quotient

chyg304

24.10.2020

$Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3$

Steps:

$\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2$

Refine, 3x-15=8x

$\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15$

$\mathrm{Simplify}, 3x=8x+15$

$\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x$

$\mathrm{Simplify}, -5x=15$

$\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}$

$\mathrm{Simplify}, x=-3$

The correct answer is C. -3

Hope this helps!!!

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