Question

A woman who owned 30% of a business sold 40% of her share of that business

for $151,200. What is the total value of the business?

Answer 1

A woman who owned 30% of a business sold 40% of her share = 30/100*40/100=12/100

share sold represents its 30%: 12%

this 12% represents $151,200

1% represents $12600

the total value of the company: 12,600*100=$1,260,000

Explanation:

Answer 2

Hello!

Answer:

`\Large \boxed{\sf \$1,260,000}`

Explanation:

→ Let x be the total value of the business.

→ If the woman owned 30% of the business, then the value of her share is
`\sf 0.3x`.

→ If she sold 40% of her share, then she sold
`\sf 0.4 * 0.3x = 0.12x`

→ Now we have this equation:

`\sf 0.12x = 151,200`

→ Let's solve this equation:

◼ Divide both sides by 0.12:

`\sf 0.12x / 0.12= 151,200/ 0.12`

◼ Simplify both sides:

`\boxed{\sf x= 1,260,000}`

Conclusion:

The total value of the business is $1,260,000.