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Austin & Kaitlyn Kojan invested $195,000 in a business venture. If Kaitlyn invested 2 1/4 as much as Austin invested, how much money did Kaitlyn invest?

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Kaitlyn =2 (1)/(4) \cdot Austin \\\\Kaitlyn +Austin =\$195,000\\\\2 (1)/(4) \cdot Austin+Austin =\$195,000\\\\3 (1)/(4) \cdot Austin =\$195,000\\\\ (13)/(4) \cdot Austin =\$195,000\ /\cdot (4)/(13) \\\\Austin =13\cdot \$15,000\cdot (4)/(13)= \$60,000\\\\Kaitlyn =2 (1)/(4) \cdot Austin= (9)/(4) \cdot \$60,000=9\cdot\$15,000=\$135,000\\\\Ans.\Kaitlyn\ did\ \$135,000\ invest.
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