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Zorluk: OrtaRatios, Rates, and Percentages

A municipal water treatment facility operates four filtration basins (Basin A, Basin B, Basin C, and Basin D). Each basin receives raw water at a specified intake rate and operates at a given recovery percentage (the percent of raw water converted to purified water). Match each filtration basin on the left to its corresponding purified water output rate in thousands of gallons per hour (kgal/hr) on the right.

  • Basin A: Raw water intake rate of 120 kgal/hr120\text{ kgal/hr} with a 75%75\% recovery rate.90 kgal/hr90\text{ kgal/hr}
  • Basin B: Raw water intake rate of 160 kgal/hr160\text{ kgal/hr} with a 65%65\% recovery rate.104 kgal/hr104\text{ kgal/hr}
  • Basin C: Raw water intake rate of 200 kgal/hr200\text{ kgal/hr} with a 55%55\% recovery rate.110 kgal/hr110\text{ kgal/hr}
  • Basin D: Raw water intake rate of 150 kgal/hr150\text{ kgal/hr} with an 80%80\% recovery rate.120 kgal/hr120\text{ kgal/hr}

Cevap

Basin A matches with 90 kgal/hr, Basin B matches with 104 kgal/hr, Basin C matches with 110 kgal/hr, and Basin D matches with 120 kgal/hr.
The output rate for each basin is determined by taking the product of the total raw intake rate and the given recovery percentage. Basin A yields 120×0.75=90 kgal/hr120 \times 0.75 = 90\text{ kgal/hr}, Basin B yields 160×0.65=104 kgal/hr160 \times 0.65 = 104\text{ kgal/hr}, Basin C yields 200×0.55=110 kgal/hr200 \times 0.55 = 110\text{ kgal/hr}, and Basin D yields 150×0.80=120 kgal/hr150 \times 0.80 = 120\text{ kgal/hr}.

Adım Adım Çözüm

1
Calculate the purified water output for Basin A
Output = 120×0.75=90 kgal/hr120 \times 0.75 = 90\text{ kgal/hr}
Multiply the raw intake volume by the decimal equivalent of the recovery percentage (75%=0.7575\% = 0.75).
2
Calculate the purified water output for Basin B
Output = 160×0.65=104 kgal/hr160 \times 0.65 = 104\text{ kgal/hr}
Multiply the raw intake volume by the recovery percentage (65%=0.6565\% = 0.65).
3
Calculate the purified water output for Basin C
Output = 200×0.55=110 kgal/hr200 \times 0.55 = 110\text{ kgal/hr}
Multiply the raw intake volume by the recovery percentage (55%=0.5555\% = 0.55).
4
Calculate the purified water output for Basin D
Output = 150×0.80=120 kgal/hr150 \times 0.80 = 120\text{ kgal/hr}
Multiply the raw intake volume by the recovery percentage (80%=0.8080\% = 0.80).

Anahtar Kavram

Calculating net output rate from gross input rate and efficiency percentages
Tahmini Süre:1m 30s
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Ratios, Rates, and Percentages

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