Question

In a grocery store, the total number of cashiers and stockers must be at least 12 but not more then 20. There must be at least 5 cashiers and 3 stockers. Let x represent the numbers of cashiers and y represent the number of stockers. Which system of inequalities can be used to find the number of cashiers and stockers required?

Answer 1

Answer: 20
`\geq` x + y
`\geq` 12

x
`\geq`5

y
`\geq`3

Explanation:

You just write down what the question says, x is cashier and y is stockers.

The total number of both cashiers and stockers is 12 or more so x + y
`\geq` 12.

But, not over 20 so 20
`\geq` x + y
`\geq` 12.

then "There must be at least 5 cashiers and 3 stockers." so x
`\geq`5 and y
`\geq`3

This is a system of inequalities:

20
`\geq` x + y
`\geq` 12

x
`\geq`5

y
`\geq`3