A killer whale has eaten 75 pounds of fish today. It needs to eat at...

Jeffery Clements

Jeffery Clements

Answered

2022-06-16

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?

Answer & Explanation

Marlee Guerra

Marlee Guerra

Expert

2022-06-17Added 25 answers

Step 1
Let the count of buckets needed be x
Determine the amount left that needs to be consumed
For now drop the unit of measurement of lb
Total needed total eaten so far = remainder to eat
140 - 75 = 65
Step 2
Determine the exact count of bucket loads
quantity 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 value
but 0.33333 = 1 3
x = 4 1 3 buckets
Step 3
Write this as an inequality
At 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

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