During construction, the workers need to mix dried bentonite into the concrete as it is being mixed to achieve the desired consistency. The workers decide to mix 800 mg of bentonite with 198 lb of concrete mix every 8 hours. The information for the concrete shows that 25-75 mg/kg per day is the appropriate mixture consistency. Are the workers within the desired range?

(Note: 1 kg = 2.2 lbs)

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EmilyJeanStone EmilyJeanStone · Answer 2 · 2025-02-13T09:35:25-05:00

The workers are within the desired mixture consistency range because the amount of bentonite they plan to mix (800 mg) is within the calculated range of 2250 mg to 6750 mg for 90 kg of concrete.

First, we need to convert 198 lb of concrete to kilograms to be consistent with the mixture consistency units:

198 lb x (1 kg / 2.2 lb)
approximately 90 kg

The desired range for bentonite mixture consistency is 25-75 mg/kg per day. Multiplying the weight of the concrete in kilograms by the lower and upper bounds of the range gives:

90 kg x 25 mg/kg = 2250 mg
90 kg x 75 mg/kg = 6750 mg

The 800 mg of Bentonite they plan to mix is within the range of 2250 mg to 6750 mg, hence the workers are within the desired mixture consistency range.