Answer:
[tex]\$\dfrac{320,000}{7}\approx \$45,714.29.[/tex]
Step-by-step explanation:
Steve and Elizabeth invest money in a 3:4 ratio, respectively. This means that Steve invests $3x and Elizabeth invests $4x.
They need $80,000 for the franchise, then
3x+4x=80,000,
7x=80,000
[tex]x=\dfrac{80,000}{7}.[/tex]
Thus, Elizabeth invests
[tex]4x=4\cdot \dfrac{80,000}{7}=\dfrac{320,000}{7}\approx \$45,714.29.[/tex]
