A killer whale has eaten 75 pounds of fish today. It needs to eat at least 140 pounds of fish each day A bucket holds 15 pounds of fish. Identify an inequality that represents how many more buckets z of fish the whale needs to eat?

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Marlee Guerra · Accepted Answer

Step 1Let the count of buckets needed be xDetermine the amount left that needs to be consumedFor now drop the unit of measurement of lb  Total needed  −  total eaten so far  =  remainder to eat                    140        -        75        =        65            Step 2Determine the exact count of bucket loadsquantity in 1 bucket x count of buckets = remainder to eat  quantity in 1 bucket  ×  count of buckets  =  remainder to eat      15    x    =    65  divide both sides by 15            15      15        x    =          65      15      But             15      15        =    1        x    =          65      15        =    4.3333    ...   as an exact valuebut   0.33333  ⋯  =      1    3        x    =    4          1      3       bucketsStep 3Write this as an inequalityAt least       4          1      3       buckets is the same as:Greater than or equal to which is written as       ≥   or       ≤   depending on which way things are.Thus we have:The count of buckets is greater than or equal to       4          1      3            ⇒    x    ≥    4          1      3

A killer whale has eaten 75 pounds of fish today.

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