The amount budgeted for Sales and Research combined is $75,000,000.
Therefore, the total budget(x) will be
[tex]\begin{gathered} (15+35)\%\text{ of x = }75000000 \\ 50\%\times x=75000000 \\ \frac{50}{100}\times x=75000000 \\ 0.5x=75000000 \\ x=\frac{75000000}{0.5}=150,000,000 \end{gathered}[/tex]Hence, the total annual budget is
[tex]\text{ \$}150,000,000[/tex]