Examkin

Soru

Zorluk: OrtaRatios, Rates, and Proportions

A quality control inspector at an electronics factory found that in a large shipment of smartphone screens, the ratio of the number of damaged screens to the number of undamaged screens was 33 to 2222. If the shipment contained a total of 6,6006,600 smartphone screens, how many of the screens in the shipment were damaged?

  1. A
    762
  2. 792Cevap
  3. C
    900
  4. D
    5,808

Cevap

792
The correct value of 792792 is obtained by first determining the total number of parts in the ratio, which is 3+22=253 + 22 = 25. The fraction of damaged screens in the shipment is therefore 325\frac{3}{25}. Multiplying this fraction by the total number of screens in the shipment (6,6006,600) yields 325×6,600=792\frac{3}{25} \times 6,600 = 792.

Adım Adım Çözüm

1
Determine the total number of parts in the ratio.
3+22=253 + 22 = 25 total parts
To find the fraction of the total shipment that is damaged, we must add the parts of the damaged and undamaged screens.
2
Set up the fraction of the shipment that is damaged.
325\frac{3}{25}
Since there are 33 damaged screens for every 2525 total screens, the proportion of damaged screens is 325\frac{3}{25}.
3
Multiply the fraction by the total number of screens in the shipment.
325×6,600=792\frac{3}{25} \times 6,600 = 792
Multiplying the proportion of damaged screens by the total size of the shipment gives the total number of damaged screens.

Anahtar Kavram

Applying part-to-whole ratios to solve for a specific quantity in a given total.
Tahmini Süre:1m 15s
Bu soruyu puanla

Konular

Ratios, Rates, and Proportions

Bu konudan daha fazla soru