[tex]Kaitlyn =2 \frac{1}{4} \cdot Austin \\\\Kaitlyn +Austin =\$195,000\\\\2 \frac{1}{4} \cdot Austin+Austin =\$195,000\\\\3 \frac{1}{4} \cdot Austin =\$195,000\\\\ \frac{13}{4} \cdot Austin =\$195,000\ /\cdot \frac{4}{13} \\\\Austin =13\cdot \$15,000\cdot \frac{4}{13}= \$60,000\\\\Kaitlyn =2 \frac{1}{4} \cdot Austin= \frac{9}{4} \cdot \$60,000=9\cdot\$15,000=\$135,000\\\\Ans.\Kaitlyn\ did\ \$135,000\ invest.[/tex]