 Jeffery Clements

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? Marlee Guerra

Expert

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
$\text{Total needed}-\text{total eaten so far}=\text{remainder to eat}$
$140-75=65$
Step 2
Determine the exact count of bucket loads
quantity in 1 bucket x count of buckets = remainder to eat
$\text{quantity in 1 bucket}×\text{count of buckets}=\text{remainder to eat}$
$15x=65$
divide both sides by 15
$\frac{15}{15}x=\frac{65}{15}$
But $\frac{15}{15}=1$
$x=\frac{65}{15}=4.3333...$ as an exact value
but $0.33333\cdots =\frac{1}{3}$
$x=4\frac{1}{3}$ buckets
Step 3
Write this as an inequality
At least $4\frac{1}{3}$ buckets is the same as:
Greater than or equal to which is written as $\ge$ or $\le$ depending on which way things are.
Thus we have:
The count of buckets is greater than or equal to $4\frac{1}{3}$
$⇒x\ge 4\frac{1}{3}$

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