Question

Benchmark 1 Quantitative Modeling (Online) 19-20: Section 1 - Non-Calculator
Question: 1-1
Steve and Elizabeth decide to become partners in a children's cooking school. They need $80,000 for the franchise. They invest in
a 3:4 ratio, respectively. How much did Elizabeth invest?

Answer 1

Answer:

$45,714.286

Step-by-step explanation:

Total investment = $80,000

let Elizabeth's investment = x

     Steve's investment= y

⇒ Given

$\frac{y}{x}=\frac{3}{4}$

$y=\frac{3}{4}\times x$

as sum of both the investments is equal to $80,000

$x+y= 80000$

$x+\frac{3}{4}\times x= 80000$

$\frac{7}{4}\times x= 80000$

$x= 80000 \times\frac{4}{7}$

⇒$x= 45,714.286$

Elizabeth's investment = $45,714.286