138,993 views
10 votes
10 votes
Grandma is buying hats and gloves on Amazon. Hats costs $6 each and gloves cost 54

each. She has a coupon to use if she buys 6 or more items and she doesn't want to
spend more than $45. Write a system of linear inequalities that represents this
situation.

User XJones
by
2.9k points

1 Answer

7 votes
7 votes

9514 1404 393

Answer:

  • h +g ≥ 6
  • 6h +4g ≤ 45

Explanation:

Let the variables h and g represent the numbers of hats and gloves purchased, respectively. The requirement for the total number of items to be 6 or more is ...

h + g ≥ 6

The requirement for the total cost to be at most $45 is ...

6h +4g ≤ 45

_____

Additional comment

We assume that "54" is an interpretation of "$4". Image to text conversion doesn't always give completely accurate results.

User Silvan Bregy
by
2.4k points
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