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Omar has a new debit card. He earns 1,800 reward points for spending 300 dollars.
At this rate, if Omar earned 600 reward points, how much money did he spend?
dollars

Omar has a new debit card. He earns 11,800800 reward points for spending 300300 dollars.\newlineAt this rate, if Omar earned 600600 reward points, how much money did he spend?\newlinedollars

Full solution

Q. Omar has a new debit card. He earns 11,800800 reward points for spending 300300 dollars.\newlineAt this rate, if Omar earned 600600 reward points, how much money did he spend?\newlinedollars
  1. Determine Rate of Earning Points: Determine the rate at which Omar earns reward points.\newlineOmar earns 1,8001,800 reward points for spending $300\$300.\newlineRate of earning points = Number of points earnedAmount spent\frac{\text{Number of points earned}}{\text{Amount spent}}\newlineRate = 1,800 points$300\frac{1,800 \text{ points}}{\$300}\newlineRate = 66 points per dollar
  2. Calculate Amount Spent for 600600 Points: Calculate the amount of money spent to earn 600600 reward points.\newlineWe have the rate of 66 points per dollar, and we want to find out how much money corresponds to 600600 points.\newlineAmount spent = Number of points earned / Rate of earning points\newlineAmount spent = 600 points6 points per dollar\frac{600 \text{ points}}{6 \text{ points per dollar}}\newlineAmount spent = $100\$100

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