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Question

Difficulty: EasyDirect Proportions

Fill in the blank with the correct numeric value to complete the statement.

Answer:A printing press can print 5050 identical banners in 22 minutes. At this constant rate, the press will print 【250】 banners in 1010 minutes.

Answer

250
Because the printing press operates at a constant rate, the number of banners produced is directly proportional to the time spent printing. Since 1010 minutes is exactly 55 times longer than the initial 22 minutes, the press will produce 55 times as many banners. Multiplying the original 5050 banners by 55 results in 250250 banners.

Step-by-Step Solution

1
Identify the given ratio of banners to time.
The press produces 5050 banners per 22 minutes.
Establishing the baseline rate is the first step in setting up a direct proportion.
2
Determine the scaling factor for the time.
The time increases from 22 minutes to 1010 minutes. The scaling factor is 102=5\frac{10}{2} = 5.
Finding how many times greater the new time is compared to the original time tells us how to scale the output.
3
Multiply the baseline production by the scaling factor.
50×5=25050 \times 5 = 250 banners.
In a direct proportion, as time increases by a certain multiple, the quantity produced increases by that exact same multiple.

Key Concept

Direct Proportions
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Topics

Direct Proportions

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