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

After converting to common units and calculating the current mixing ratio, it is determined that the workers at the construction site are mixing bentonite into the concrete at a ratio within the desired range of 25-75 mg/kg/day.

Explanation:

To determine if the workers are within the desired range, we first need to convert units to common measurements. Let's convert 198 pounds (lb) of concrete to kilograms (kg) since the desired range is given in mg/kg/day. Note that 1 lb is approximately 0.453592 kg. Therefore, 198 lb becomes about 89.81 kg.

Next, consider that the workers are using 800 mg of bentonite every 8 hours, which means they use 2400 mg in a 24-hour day.

Now, we calculate the current mixing ratio in mg/kg/day, that is 2400 mg/89.81 kg/day which results in approximately 26.75 mg/kg/day. Since the desired range for mixing consistency is 25-75 mg/kg/day, the workers are following the recommendations correctly and are within range.

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