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Zorluk: OrtaUnit Rates

A quartermaster issues 1,0501,050 uniform shirts to new recruits over the course of a 33-hour and 3030-minute processing block. Assuming a constant pace, what is the unit rate of shirts issued per minute?

Cevap: 5 shirts per minute

Cevap

The correct answer is 5 shirts per minute.
To find the unit rate in shirts per minute, the total time must first be converted entirely into minutes. 33 hours and 3030 minutes is equal to 210210 minutes. Dividing the total number of shirts (1,0501,050) by the total number of minutes (210210) results in exactly 55 shirts per minute.

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1
Convert the given time block into a single unit (minutes) to align with the question's requested rate.
33 hours and 3030 minutes =(3×60)+30=180+30=210= (3 \times 60) + 30 = 180 + 30 = 210 minutes.
The unit rate asked for is per minute, so the total time elapsed must be expressed in minutes.
2
Calculate the unit rate by dividing the total quantity by the total time in minutes.
1,050 shirts÷210 minutes=5 shirts per minute1,050 \text{ shirts} \div 210 \text{ minutes} = 5 \text{ shirts per minute}.
A unit rate compares a quantity to one unit of another quantity. Dividing the total items by the total minutes yields the number of items per single minute.

Anahtar Kavram

Calculating unit rates involving time conversion.
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Unit Rates

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