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1 vote
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?

User CuriousBoy
by
7.7k points

2 Answers

1 vote

Answer:

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:

User Landstalker
by
7.7k points
3 votes

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.

User Ben Boyer
by
8.4k points