Answer:
[tex] a = \frac{100}{3}[/tex]
Step-by-step explanation:
We have the following equation:
[tex]\frac{1}{2} a + \frac{2}{3} b = 50[/tex]
If [tex]b=50[/tex], then:
[tex]\frac{1}{2} a + \frac{2}{3}[/tex]×50 [tex] = 50[/tex]
Solving for 'a':
[tex]\frac{1}{2} a = \frac{50}{3}[/tex]
[tex]\frac{1}{2} a = \frac{50}{3}[/tex]
[tex] a = 2\frac{50}{3}[/tex]
[tex] a = \frac{100}{3}[/tex]
