Soru

Zorluk: KolayDirect Proportions

Read the scenario and fill in the blank with the correct numerical value.

Cevap:A logistics team can pack 3030 ration boxes in 1515 minutes. Operating at this same constant rate, the team can pack 【90】 ration boxes in 4545 minutes.

Cevap

90
Because the packing rate is constant, the relationship between boxes and minutes is directly proportional. Determining the unit rate (22 boxes per minute) and multiplying it by the target time (4545 minutes) correctly yields 9090 boxes.

Adım Adım Çözüm

1
Calculate the unit rate of packing.
30÷15=230 \div 15 = 2 boxes per minute.
To find out how many boxes can be packed in a different amount of time, it helps to first know how many boxes are packed in exactly one minute.
2
Multiply the unit rate by the new time.
2×45=902 \times 45 = 90 boxes.
Since the team packs 2 boxes every minute, multiplying this constant rate by 45 minutes gives the total number of boxes packed in that timeframe.

Anahtar Kavram

Direct Proportions

Alternatif Yöntem

You can also solve this by setting up a direct proportion equation: 3015=x45\frac{30}{15} = \frac{x}{45}. Recognizing that 4545 is exactly 33 times 1515, you can simply multiply the initial number of boxes by 33: 30×3=9030 \times 3 = 90.
Tahmini Süre:45s
Bu soruyu puanla