A naval ship uses 400 pounds of provisions to feed a specific crew for 5 days. At this sam… — Armed Services Vocational Aptitude Battery (ASVAB)

A naval ship uses $400$ pounds of provisions to feed a specific crew for $5$ days. At this same constant rate, how many pounds of provisions are needed to feed the crew for $12$ days?

Answer: 960 pounds

Answer

960

By determining the unit rate of

80

pounds per day and multiplying it by

12

days, the direct proportionality rule is correctly applied to find the total of

960

pounds.

Step-by-Step Solution

Calculate the unit rate of provisions per day.

400 \div 5 = 80

pounds per day.

Finding the amount used in one day allows scaling the proportion to any other number of days.

Multiply the unit rate by the new number of days.

80 \times 12 = 960

pounds.

This scales the daily rate up to the required

12

-day period to maintain the direct proportion.

Key Concept

Direct proportions using unit rates

Estimated Time:45s

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