Question

name: marissa hernandez period 2nd 09/17/25

1. tomas invests $28,000 in a company valued at $145,000. what percentage of the company does tomas own?
2. if a company has a value of $682,150 and there are seven shareholders who have invested equal amounts. how much is each share worth?
3. what is 15% of $79,550?
4. bryan, carlotta, and angelo have invested in their sporting goods store with a ratio of 6:10:12 respectively. the company is valued at $395,976. how much money did each of the owners invest in their company?

name of investor | ratio number | total amount invested | investor’s amount as a fraction | investor’s amount as a decimal | investor’s amount as a percentage
$
$
$

1. suzena owns 15% of a partnership. jason owns 32% of the partnership. if aiden is the third partner, what percent of the partnership does aiden own?
2. what is 30% of $270,000?
3. alexis owns three - fifths of a fabric store. the total investment for the store was $250,000. what is the value of alexis’s share of the business?
4. lynzee invested $75,000 into a small local restaurant. the total investment is worth $200,000. what percent of the restaurant does she own?

Explanation:

Step1: Calculate Tomas's ownership percentage

Use the formula $\text{Percentage}=\frac{\text{Investment}}{\text{Company Value}}\times100\%$. So, $\frac{28000}{145000}\times100\%$.

Step2: Simplify the fraction and multiply by 100

$\frac{28000}{145000}=\frac{28}{145}\approx 0.1931$, and $0.1931\times100\% = 19.31\%$.

Step3: Calculate the value of each share in the second - problem

Use the formula $\text{Value per share}=\frac{\text{Company Value}}{\text{Number of shareholders}}$. So, $\frac{682150}{7}=97450$.

Step4: Calculate 15% of 79550

Use the formula $\text{Amount}= \text{Percentage}\times\text{Total amount}$. So, $0.15\times79550 = 11932.5$.

Step5: Calculate the investments of Bryan, Carlotta and Angelo

First, find the sum of the ratio numbers: $6 + 10+12=28$.
For Bryan: His fraction of investment is $\frac{6}{28}$, and his investment amount is $\frac{6}{28}\times395976\approx 84851.14$.
For Carlotta: Her fraction of investment is $\frac{10}{28}$, and her investment amount is $\frac{10}{28}\times395976\approx 141420$.
For Angelo: His fraction of investment is $\frac{12}{28}$, and his investment amount is $\frac{12}{28}\times395976\approx 169709.86$.

Step6: Calculate Aiden's ownership percentage

Since the total percentage of ownership is 100%, Aiden's percentage is $100-(15 + 32)=53\%$.

Step7: Calculate 30% of 270000

Use the formula $\text{Amount}=\text{Percentage}\times\text{Total amount}$. So, $0.3\times270000 = 81000$.

Step8: Calculate Alexis's share value

Alexis owns $\frac{3}{5}$ of the store. Using the formula $\text{Alexis's share value}=\frac{3}{5}\times250000 = 150000$.

Step9: Calculate Lynzee's ownership percentage

Use the formula $\text{Percentage}=\frac{\text{Investment}}{\text{Total investment}}\times100\%$. So, $\frac{75000}{200000}\times100\%=37.5\%$.

Answer:

1. $19.31\%$
2. $\$97450$
3. $\$11932.5$
4. Bryan: $\$84851.14$, Carlotta: $\$141420$, Angelo: $\$169709.86$
5. $53\%$
6. $\$81000$
7. $\$150000$
8. $37.5\%$