A store sold 64 sweatshirts one day. Of these, 12 were gray. The store manager plans to order 400 more sweatshirts.
Based on the data, how many gary sweatshirts should the manager order?
12 gray out of 64. Find the percent: 12 divided by 64 = ?? (you'll get a decimal, no need to move decimal to make a percent--just keep the decimal for the next step.
Next step: 400 x the decimal found above = ?? and this answer will tell you how many gray sweatshirts to order in the 400 lot.
Then, check your work:
--Does 12 divided by 64 = the number found for gray out of 400 divided by 400?
If it does, celebrate! If not, try again. . . The great part is that you can check yourself!
The answer should be 75 gray sweatshirts using the method that JJ explained.
To find out how many gray sweatshirts the manager should order, we can first calculate the proportion of gray sweatshirts among the sweatshirts sold on that day.
The total number of sweatshirts sold was 64, and out of those, 12 were gray. To find the proportion of gray sweatshirts, divide the number of gray sweatshirts by the total number of sweatshirts sold:
Proportion of gray sweatshirts = Number of gray sweatshirts / Total number of sweatshirts sold
Proportion of gray sweatshirts = 12 / 64
Proportion of gray sweatshirts ≈ 0.1875 (rounded to four decimal places)
Now, we can use this proportion to estimate the number of gray sweatshirts the manager should order for 400 more sweatshirts. Multiply the proportion of gray sweatshirts by the total number of additional sweatshirts ordered:
Number of gray sweatshirts to order = Proportion of gray sweatshirts * Total number of additional sweatshirts ordered
Number of gray sweatshirts to order = 0.1875 * 400
Number of gray sweatshirts to order ≈ 75 (rounded to the nearest whole number)
Therefore, the manager should order approximately 75 gray sweatshirts.