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The ratio of new car sales to used car sales at the car lot is 3:53:5. If the total car sales were $287,400\$287,400 last month, what was the total of the used car sales?

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Q. The ratio of new car sales to used car sales at the car lot is 3:53:5. If the total car sales were $287,400\$287,400 last month, what was the total of the used car sales?
  1. Define Equations: Let's denote the total amount of new car sales as 3x3x and the total amount of used car sales as 5x5x, where xx is the common ratio multiplier. According to the problem, the sum of new and used car sales is $287,400\$287,400.\newlineSo, the equation based on the given information is:\newline3x+5x=$287,4003x + 5x = \$287,400
  2. Combine Like Terms: Now, we combine like terms to simplify the equation:\newline3x+5x=8x3x + 5x = 8x\newlineSo, the equation becomes:\newline8x=$287,4008x = \$287,400
  3. Solve for x: Next, we solve for x by dividing both sides of the equation by 88:\newlinex=$287,4008x = \frac{\$287,400}{8}\newlinex=$35,925x = \$35,925\newlineThis means that the common ratio multiplier for the car sales is $35,925\$35,925.
  4. Calculate Total Used Sales: Now that we have the value of xx, we can find the total of the used car sales by multiplying the common ratio multiplier for used car sales (55) by xx:
    Total used car sales = 5x5x
    Total used car sales = 5×$(35,925)5 \times \$(35,925)
    Total used car sales = $(179,625)\$(179,625)

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