2. timothy invests $37,500 in a company valued at $150,000. what percentage of the company does timothy…

2. timothy invests $37,500 in a company valued at $150,000. what percentage of the company does timothy own?\n3. what is 15% of $79,550?\n4. ben, chris, and joshua have invested in their sporting - goods store with a ratio of 6:9:10 respectively. the company is valued at $340,000. how much money did each of the owners invest in their company?\nname of investor\tratio number\ttotal amount invested\tinvestor’s amount as a fraction\tinvestor’s amount as a decimal\tinvestor’s amount as a percentage\n \t \t$ \t \t \t \n \t \t$ \t \t \t \n \t \t$ \t \t \t \n5. shannon owns 35% of a partnership. jason owns 22% of the partnership. if allen is the third partner, what percentage of the partnership does allen own?\n6. what is 30% of $270,000?\n7. alexis owns three - fifths of a fabric store. the total investment for the store was $250,000. what is alexis’s share of the business?\n8. lilly invested $75,000 into a small local barber shop. the total investment is worth $200,000. what percentage of the barber shop does she own?

2. timothy invests $37,500 in a company valued at $150,000. what percentage of the company does timothy own?\n3. what is 15% of $79,550?\n4. ben, chris, and joshua have invested in their sporting - goods store with a ratio of 6:9:10 respectively. the company is valued at $340,000. how much money did each of the owners invest in their company?\nname of investor\tratio number\ttotal amount invested\tinvestor’s amount as a fraction\tinvestor’s amount as a decimal\tinvestor’s amount as a percentage\n \t \t$ \t \t \t \n \t \t$ \t \t \t \n \t \t$ \t \t \t \n5. shannon owns 35% of a partnership. jason owns 22% of the partnership. if allen is the third partner, what percentage of the partnership does allen own?\n6. what is 30% of $270,000?\n7. alexis owns three - fifths of a fabric store. the total investment for the store was $250,000. what is alexis’s share of the business?\n8. lilly invested $75,000 into a small local barber shop. the total investment is worth $200,000. what percentage of the barber shop does she own?

Answer

  1. Question 2:

    • Explanation:

      Step1: Use the percentage - ownership formula

      The formula for percentage ownership is $\text{Percentage}=\frac{\text{Investor's amount}}{\text{Company's value}}\times100%$. Timothy invested $$37,500$ and the company is valued at $$150,000$. So, $\text{Percentage}=\frac{37500}{150000}\times100%$.

      Step2: Simplify the fraction and multiply by 100

      $\frac{37500}{150000}=\frac{1}{4}$, and $\frac{1}{4}\times100% = 25%$.

    • Answer:

      $25%$
  2. Question 3:

    • Explanation:

      Step1: Use the percentage - of - a - number formula

      To find $15%$ of $$79,550$, we use the formula $A = p\times N$, where $p$ is the percentage as a decimal ($15%=0.15$) and $N$ is the number. So, $A = 0.15\times79550$.

      Step2: Calculate the product

      $0.15\times79550=11932.5$.

    • Answer:

      $$11,932.5$
  3. Question 4:
    • The sum of the ratio numbers is $6 + 9+10=25$.
    • For Ben:

      • Explanation:

        Step1: Find Ben's fraction of the investment

        Ben's ratio number is $6$. His fraction of the investment is $\frac{6}{25}$.

        Step2: Calculate Ben's investment amount

        The total value of the company is $$340,000$. So, Ben's investment is $\frac{6}{25}\times340000 = 6\times13600=$81,600$. As a decimal, $\frac{6}{25}=0.24$ and as a percentage, $0.24\times100% = 24%$.

      • Answer:

        Name of Investor: Ben, Ratio number: $6$, Total amount invested: $$340,000$, Investor's amount as a fraction: $\frac{6}{25}$, Investor's amount as a decimal: $0.24$, Investor's amount as a percentage: $24%$
    • For Chris:

      • Explanation:

        Step1: Find Chris's fraction of the investment

        Chris's ratio number is $9$. His fraction of the investment is $\frac{9}{25}$.

        Step2: Calculate Chris's investment amount

        Chris's investment is $\frac{9}{25}\times340000 = 9\times13600=$122,400$. As a decimal, $\frac{9}{25}=0.36$ and as a percentage, $0.36\times100% = 36%$.

      • Answer:

        Name of Investor: Chris, Ratio number: $9$, Total amount invested: $$340,000$, Investor's amount as a fraction: $\frac{9}{25}$, Investor's amount as a decimal: $0.36$, Investor's amount as a percentage: $36%$
    • For Joshua:

      • Explanation:

        Step1: Find Joshua's fraction of the investment

        Joshua's ratio number is $10$. His fraction of the investment is $\frac{10}{25}=\frac{2}{5}$.

        Step2: Calculate Joshua's investment amount

        Joshua's investment is $\frac{10}{25}\times340000 = 10\times13600=$136,000$. As a decimal, $\frac{10}{25}=0.4$ and as a percentage, $0.4\times100% = 40%$.

      • Answer:

        Name of Investor: Joshua, Ratio number: $10$, Total amount invested: $$340,000$, Investor's amount as a fraction: $\frac{10}{25}$, Investor's amount as a decimal: $0.4$, Investor's amount as a percentage: $40%$
  4. Question 5:

    • Explanation:

      Step1: Use the fact that the sum of all partners' percentages is 100%

      Shannon owns $35%$ and Jason owns $22%$. Let Allen's percentage be $x$. Then $x+35% + 22%=100%$.

      Step2: Solve for $x$

      $x=100%-(35% + 22%)=100% - 57%=43%$.

    • Answer:

      $43%$
  5. Question 6:

    • Explanation:

      Step1: Use the percentage - of - a - number formula

      To find $30%$ of $$270,000$, we use the formula $A = p\times N$, where $p = 0.3$ (since $30%=0.3$) and $N = 270000$. So, $A=0.3\times270000$.

      Step2: Calculate the product

      $0.3\times270000 = 81000$.

    • Answer:

      $$81,000$
  6. Question 7:

    • Explanation:

      Step1: Use the fraction - of - a - number formula

      Alexis owns $\frac{3}{5}$ of a store with a total investment of $$250,000$. We use the formula $A = f\times N$, where $f=\frac{3}{5}$ and $N = 250000$. So, $A=\frac{3}{5}\times250000$.

      Step2: Calculate the product

      $\frac{3}{5}\times250000=3\times50000 = 150000$.

    • Answer:

      $$150,000$
  7. Question 8:

    • Explanation:

      Step1: Use the percentage - ownership formula

      The percentage ownership $p=\frac{\text{Investor's amount}}{\text{Total investment}}\times100%$. Lilly invested $$75,000$ and the total investment is $$200,000$. So, $p=\frac{75000}{200000}\times100%$.

      Step2: Simplify the fraction and multiply by 100

      $\frac{75000}{200000}=\frac{3}{8}$, and $\frac{3}{8}\times100%=\frac{300}{8}% = 37.5%$.

    • Answer:

      $37.5%$