Question 1036444

Sam has already biked  1	4  of all the distance and 12 miles, and he still needs to bike  3	8  of the total distance and 9 miles. What’s the total distance?
<pre>Let total distance be D
based on the info., we get: {{{(1/4)D + 12 + (3/8)D + 9 = D}}}
{{{D/4 + 12 + 3D/8 + 9 = D}}}
2D + 96 + 3D + 72 = 8D ------- Multiplying by LCD, 8
2D + 3D + 168 = 8D
5D - 8D = - 168
- 3D = - 168
D, or distance = {{{(- 168)/(- 3)}}} = {{{highlight_green(matrix(1,2, 56, miles))}}}