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Zorluk: OrtaRatios and Proportions

A military motor pool maintains a fleet of tactical trucks, transport vans, and passenger cars in a ratio of 8:5:38:5:3. If there are exactly 112112 total vehicles in this fleet, how many transport vans does the motor pool maintain?

Cevap: 35 vans

Cevap

The motor pool maintains 35 transport vans.
The problem outlines a part-to-part-to-part ratio of 8:5:38:5:3 and a total quantity of 112112. To solve this, first add the parts of the ratio together (8+5+3=168 + 5 + 3 = 16). Next, divide the total quantity by the total ratio parts (112÷16=7112 \div 16 = 7) to determine that each 'part' represents 77 actual vehicles. Since the ratio for transport vans is the middle number (55), multiply 55 by 77 to correctly get 3535 transport vans.

Adım Adım Çözüm

1
Determine the total number of parts in the given ratio.
8+5+3=168 + 5 + 3 = 16 parts
Since the total number of vehicles in the fleet is given, we must find the total sum of the ratio parts to determine the size of a single part.
2
Calculate the exact value of a single ratio part.
112÷16=7112 \div 16 = 7 vehicles per part
Dividing the total quantity of vehicles by the total number of ratio parts gives the multiplier for the ratio.
3
Find the number of transport vans.
5×7=355 \times 7 = 35 transport vans
The ratio value specifically assigned to transport vans is 55. Multiplying this by the value of one part gives the final count.

Anahtar Kavram

Solving part-to-whole ratio problems by establishing the total parts before finding specific component quantities.
Tahmini Süre:1m 0s
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Ratios and Proportions

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