Answer:
[tex]x = \frac{32}{45}[/tex]
Step-by-step explanation:
Given
[tex]1 * (2\frac{2}{3}) = \frac{1}{2}x + 3\frac{1}{4}x[/tex]
Required
Solve for x
Express all fractions as improper
[tex]1 * \frac{8}{3} = \frac{1}{2}x + \frac{13}{4}x[/tex]
Take LCM
[tex]1 * \frac{8}{3} = \frac{2 + 13}{4}x[/tex]
[tex]\frac{8}{3} = \frac{15}{4}x[/tex]
Cross Multiply
[tex]15x * 3 = 4 * 8[/tex]
[tex]45x = 32[/tex]
Make x the subject
[tex]x = \frac{32}{45}[/tex]
