Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make?
StartFraction part Over whole EndFraction = StartFraction 70 times 8,750 Over 100 times 8,750 EndFraction = StartFraction 612,500 Over 875,000 EndFraction
To find the total number of shoes sold in June, Emily used the equation:
Fraction of sandals sold * Total number of shoes sold = Number of sandals sold
Emily correctly calculated the number of sandals sold:
70/100 * 875,000 = 612,500
However, she made an error in assuming that the number of sandals sold is the same as the total number of shoes sold in June. This is not true because the number of sandals sold only accounts for 70% of the total shoes sold.
To find the total number of shoes sold, we need to divide the sandals sold by the fraction of sandals sold:
Total number of shoes sold = Number of sandals sold / Fraction of sandals sold
Total number of shoes sold = 612,500 / 70/100 = 875,000
Therefore, Emily's error was not recognizing that the number of sandals sold is only a portion of the total number of shoes sold and thus her calculation is incorrect. The correct number of shoes sold in June is 875,000.