Answer:
4
Step-by-step explanation:
- represent the number he thought of with x
[tex] \frac{7}{2} x + 16 = 30[/tex]
- multiply through with the LCM which is 2
- [tex]2 \times \frac{7}{2}x + 16 \times 2 = 30 \times 2 [/tex]
- [tex]7x + 32 = 60 [/tex]
- [tex]7x = 60 - 32[/tex]
- [tex]7x = 28[/tex]
- [tex] \frac{7x}{7} = \frac{28}{7} [/tex]
- [tex]x = 4[/tex]