Heidi, A Jewelry Salesperson, Earns A Commission Of $ $ 55 $ Every Time She Sells A Diamond Ring. How Many Rings Does She Have To Sell To Earn $ $ 605 $?Choose The Equation That Correctly Calculates The Amount:A) $ $ 55 +

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Solving the Commission Problem: A Math Puzzle

In the world of sales, commissions can make all the difference in meeting targets and earning a good income. For Heidi, a jewelry salesperson, selling diamond rings is her bread and butter. With a commission of $55 for every ring sold, she needs to sell a certain number of rings to reach her goal of earning $605. In this article, we will explore the math behind this problem and help Heidi figure out how many rings she needs to sell.

Heidi earns a commission of $55 for every diamond ring she sells. To earn a total of $605, she needs to calculate how many rings she needs to sell. This is a classic problem of division, where we need to divide the total amount she wants to earn ($605) by the commission she earns per ring ($55).

To solve this problem, we need to choose the correct equation that represents the situation. Let's analyze the options:

A) 55+x=60555 + x = 605

This equation is incorrect because it represents adding $55 to an unknown value (x) to get $605. However, this is not what we want to do. We want to find out how many rings Heidi needs to sell, not add a fixed amount to an unknown value.

B) 55×x=60555 \times x = 605

This equation is also incorrect because it represents multiplying $55 by an unknown value (x) to get $605. However, this is not what we want to do. We want to find out how many rings Heidi needs to sell, not multiply a fixed amount by an unknown value.

C) x×55=605x \times 55 = 605

This equation is correct because it represents multiplying an unknown value (x) by $55 to get $605. This is exactly what we want to do: find out how many rings Heidi needs to sell to earn $605.

Now that we have chosen the correct equation, let's solve for x:

x×55=605x \times 55 = 605

To solve for x, we need to divide both sides of the equation by 55:

x=60555x = \frac{605}{55}

x=11x = 11

Therefore, Heidi needs to sell 11 diamond rings to earn $605.

In conclusion, solving the commission problem requires choosing the correct equation and using division to find the solution. By analyzing the options and choosing the correct equation, we can help Heidi figure out how many rings she needs to sell to earn $605. Whether you're a salesperson or just a math enthusiast, this problem is a great example of how math can be used to solve real-world problems.

  • If Heidi wants to earn a total of $1000, how many rings does she need to sell?
  • If the commission per ring is $75, how many rings does Heidi need to sell to earn $605?
  • If Heidi wants to earn a total of $605 in 5 days, how many rings does she need to sell per day?

These are just a few examples of how you can modify the problem to make it more challenging or interesting. By using math to solve real-world problems, you can develop your critical thinking skills and become a more confident problem-solver.
Heidi's Commission Problem: A Q&A Guide

In our previous article, we helped Heidi, a jewelry salesperson, figure out how many diamond rings she needs to sell to earn $605. But we didn't stop there. We also provided additional tips and variations to make the problem more challenging and interesting. In this article, we'll take it a step further and provide a Q&A guide to help you understand the math behind Heidi's commission problem.

A: Heidi earns a commission of $55 for every diamond ring she sells.

A: To earn a total of $605, Heidi needs to sell 11 diamond rings.

A: The correct equation is x×55=605x \times 55 = 605, where x is the number of rings Heidi needs to sell.

A: To solve the equation, you need to divide both sides of the equation by 55:

x=60555x = \frac{605}{55}

x=11x = 11

A: To earn a total of $1000, Heidi needs to sell more rings. Let's use the same equation:

x×55=1000x \times 55 = 1000

To solve for x, we need to divide both sides of the equation by 55:

x=100055x = \frac{1000}{55}

x=18.18x = 18.18

Therefore, Heidi needs to sell approximately 18.18 diamond rings to earn $1000.

A: If the commission per ring is $75, we need to use the same equation:

x×75=605x \times 75 = 605

To solve for x, we need to divide both sides of the equation by 75:

x=60575x = \frac{605}{75}

x=8.07x = 8.07

Therefore, Heidi needs to sell approximately 8.07 diamond rings to earn $605.

A: To earn a total of $605 in 5 days, Heidi needs to sell a certain number of rings per day. Let's use the same equation:

x×55=605x \times 55 = 605

To solve for x, we need to divide both sides of the equation by 55:

x=60555x = \frac{605}{55}

x=11x = 11

Since Heidi wants to earn $605 in 5 days, she needs to sell 11 rings per day.

In conclusion, Heidi's commission problem is a great example of how math can be used to solve real-world problems. By using division and algebra, we can help Heidi figure out how many diamond rings she needs to sell to earn a certain amount. Whether you're a salesperson or just a math enthusiast, this problem is a great way to practice your critical thinking skills and become a more confident problem-solver.

  • If Heidi wants to earn a total of $1500, how many rings does she need to sell?
  • If the commission per ring is $100, how many rings does Heidi need to sell to earn $605?
  • If Heidi wants to earn a total of $605 in 10 days, how many rings does she need to sell per day?

These are just a few examples of how you can modify the problem to make it more challenging or interesting. By using math to solve real-world problems, you can develop your critical thinking skills and become a more confident problem-solver.