A naval shipyard receives a shipment of 4,500 tons of high-grade steel for vessel construc… — Armed Services Vocational Aptitude Battery (ASVAB)

A naval shipyard receives a shipment of $4,500$ tons of high-grade steel for vessel construction. The shipyard allocates $36\%$ of this steel for hull plating. Of the remaining steel, $45\%$ is used for interior bulkheads. Calculate the exact number of tons of steel that will be placed into the strategic reserve.

Answer:The shipyard will place 【1584】 tons of steel into the strategic reserve.

Answer

1,584

The problem requires calculating percentages sequentially based on updated totals. After taking

36\%

of the original

4,500

tons for the hull,

64\%

(

2,880

tons) remains. The next allocation of

45\%

for bulkheads is taken from this

2,880

tons, leaving

55\%

of it for the reserve. Multiplying

2,880

0.55

gives the final reserve amount of

1,584

tons.

Step-by-Step Solution

Calculate the percentage of the original steel shipment that remains after the hull plating allocation.

100\% - 36\% = 64\%

This establishes the base percentage for the next calculation without needing to compute the exact tonnage immediately.

Calculate the exact tonnage of the remaining steel.

4,500 \times 0.64 = 2,880

tons

The interior bulkheads are allocated from this remaining amount, not the original

4,500

tons.

Determine the percentage of the remaining steel that will go into the strategic reserve.

100\% - 45\% = 55\%

Since

45\%

of the remaining steel is used for bulkheads, the rest (

55\%

) goes to the reserve.

Calculate the final reserve tonnage based on the remaining steel.

2,880 \times 0.55 = 1,584

tons

This yields the final quantity of steel placed into the strategic reserve.

Key Concept

Calculating successive percentages of remaining quantities in multi-step scenarios.

Estimated Time:1m 30s

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