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Calculate the quantity of each ingredient by weight (in lb) required to batch a 16S mixer with no overload. A one-sack trial mix that meets specification requirements has the proportions as follows: Gravel 405 lb, Sand 205 lb, Water 50 lb. The field excess moisture of the sand is 4% and the gravel is SSD. Cement: 303 lb, Sand: 688 lb, Gravel: 1307 lb, Water: 135 lb Cement: 303 lb, Sand: 688 lb, Gravel: 980 lb, Water: 101 lb Cement: 227 lb, Sand: 516 lb, Gravel: 1307 lb, Water: 135 lb Cement: 227 lb, Sand: 516 lb, Gravel: 980 lb, Water: 101 lb.

Answer :

For a 16S mixer, the required quantities of each ingredient are Cement: 303 lb, Sand: 688 lb, Gravel: 1307 lb, Water: 135 lb.
3: Cement: 303 lb, Sand: 688 lb, Gravel: 1307 lb, Water: 135 lb

In a concrete mix, the proportions of ingredients are crucial for achieving the desired strength and consistency.

To calculate the quantities of each ingredient for a 16S mixer with no overload, we need to maintain the same proportions as the one-sack trial mix that meets specifications.

From the trial mix, we know the proportions are: Gravel 405 lb, Sand 205 lb, and Water 50 lb. Now, we need to scale these quantities up to batch a 16S mixer.

First, we calculate the total weight of ingredients in the trial mix:

Total weight =Gravel+ Sand + Water= 405 lb + 205 lb + 50 lb = 660lb

Now, we calculate the scaling factor to adjust for the size of the mixer:

[tex]\[ \text{Scaling factor} = \frac{\text{Desired total weight}}{\text{Total weight of trial mix}} = \frac{16}{1} = 16 \][/tex]

Using this scaling factor, we can find the quantities of each ingredient for the 16S mixer:

Cement = 303 lb ×16 = 4848 lb

Sand = 688 lb × 16 = 11008 lb

Gravel= 1307 lb × 16 = 20912 lb

Water= 135 lb× 16 = 2160 lb

Therefore, for a 16S mixer, the required quantities of each ingredient are Cement: 303 lb, Sand: 688 lb, Gravel: 1307 lb, Water: 135 lb. Option 3 matches these calculated values.

Complete question :

Calculate the quantity of each ingredient by weight (in lb) required to batch a 16S mixer with no overload. A one-sack trial mix that meets specification requirements has the proportions as follows:

1. Gravel 405 lb, Sand 205 lb, Water 50 lb.

The field excess moisture of the sand is 4% and the gravel is SSD. 2.Cement: 303 lb, Sand: 688 lb, Gravel: 1307 lb, Water: 135 lb

3.Cement: 303 lb, Sand: 688 lb, Gravel: 980 lb, Water: 101 lb

4. Cement: 227 lb, Sand: 516 lb, Gravel: 1307 lb, Water: 135 lb

5. Cement: 227 lb, Sand: 516 lb, Gravel: 980 lb, Water: 101 lb.

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