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 + w = $605
B) $55 \times w = $605
C) $55 - w = $605 - w
D) $605 - $55 = w
Answer (1)
Define 'w' as the number of rings Heidi needs to sell.
Formulate the equation: 55 × w = 605 , representing total earnings.
Compare the equation with the given options.
The correct equation is $\boxed{$55 \times w = 605} .
Explanation
Problem Analysis Let's analyze the problem. Heidi earns $55 for each diamond ring she sells. She wants to earn a total of $605. We need to find the equation that correctly represents this situation, where 'w' represents the number of rings she needs to sell.
Setting up the Equation Let 'w' be the number of rings Heidi needs to sell. The total amount she earns is the commission per ring multiplied by the number of rings. So, the equation should be: 55 × w = 605
Comparing with Options Now, let's compare this equation with the given options: A) 55 + w = 605 (Incorrect: This represents adding the commission to the number of rings) B) 55 × w = 605 (Correct: This represents multiplying the commission by the number of rings) C) 55 − w = 605 − w (Incorrect: This equation doesn't make sense in the context of the problem) D) $605 - 55 = w (Incorrect: This represents subtracting the commission from the total earnings)
Finding the Correct Equation The correct equation is 55 × w = 605 , which means the commission per ring ($55) multiplied by the number of rings (w) equals the total earnings ($605).
Examples
Imagine you're selling cookies for a fundraiser. If each box of cookies sells for $5, and you want to earn $100, you would use the equation 5 × w = 100 to find out how many boxes (w) you need to sell. This is a simple multiplication problem, where the price per item multiplied by the number of items equals the total earnings. Understanding this helps in everyday sales and budgeting scenarios.
