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Zorluk: OrtaDividing in a Ratio

Read the scenario and fill in the missing values based on the given ratio.

Cevap:A medical supply depot is distributing 2,4002,400 trauma kits among three field hospitals—Alpha, Bravo, and Charlie—in a ratio of 3:4:53:4:5, respectively. Based on this distribution, Hospital Charlie will receive 【1000】 trauma kits, which is 【400】 more kits than Hospital Alpha receives.

Cevap

Hospital Charlie receives 1,000 kits, which is 400 more than Hospital Alpha's 600 kits.
By adding the ratio parts (3+4+5=123+4+5=12) and dividing the total kits by this sum (2,400÷12=2002,400 \div 12=200), we find the value of one part. Multiplying by Charlie's ratio (55) gives 1,000 kits. Multiplying by Alpha's ratio (33) gives 600 kits. The difference is 400 kits.

Adım Adım Çözüm

1
Calculate the total number of parts in the ratio.
3+4+5=123 + 4 + 5 = 12 total parts.
To find out how much one part of the ratio is worth, we first need to know the sum of all the parts.
2
Determine the value of a single part.
2,400÷12=2002,400 \div 12 = 200 kits per part.
Dividing the total number of kits by the total number of parts gives the value of one part.
3
Calculate the number of kits Hospital Charlie and Hospital Alpha receive.
Charlie receives 5×200=1,0005 \times 200 = 1,000 kits. Alpha receives 3×200=6003 \times 200 = 600 kits.
Multiply the number of parts each hospital has in the ratio by the value of a single part.
4
Calculate the difference between Charlie's and Alpha's shares.
1,000−600=4001,000 - 600 = 400 kits.
The question asks for how many more kits Charlie receives compared to Alpha.

Anahtar Kavram

To divide a quantity in a given ratio, add the parts of the ratio to find the total parts, divide the total quantity by this sum to find the value of one part, and then multiply by the specific parts for each share.
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Konular

Dividing in a Ratio

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