Question

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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

Answer 1

Answer: Emily solved for a part when she should have solved for the whole. 875,000 should be the numerator of the equivalent ratio. 70 x 12,500 is 875,000. So the answer is 100 x 12,500 which is 1,250,000.

Step-by-step explanation: Sample Response

Answer 2

The company sold 1250000 shoes in total.

Step-by-step explanation:

The percentage of shoes sold = 70% of total

The number of sandals sold = 875000

Let the total number of shoes be y

Then, 70% of y = 875000

$\frac{70}{100}y = 875000$

Rearranging and solving, we obtain

$y =\frac{ 875000\times 100}{70}$

$y = 1250000$

So, the company sold 1250000 shoes in total.